5 1/4-2 2/3

Solve and show equations

Answers

Answer 1

Answer:

5 1/4 - 2 2/3 = 31/12 = 2 7/12 = 2.5833333

Step-by-step explanation:

1. Conversion a mixed number 5 1/4 to a improper fraction: 5 1/4 = 5 1/4 = 5 · 4 + 1/4 = 20 + 1/4 = 21/4

To find new numerator:

a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/4 = 20/4

b) Add the answer from previous step 20 to the numerator 1. New numerator is 20 + 1 = 21

c) Write a previous answer (new numerator 21) over the denominator 4.

Five and one quarter is twenty-one quarters

Conversion a mixed number 2 2/3 to a improper fraction: 2 2/3 = 2 2/3 = 2 · 3 + 2/3= 6 + 2/3 = 8/3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8

c) Write a previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds

Subtract: 21/4 - 8/3 = 21 · 3/4 · 3 - 8 · 4/3 · 4 = 63/12- 32/12 = 63 - 32/12 = 31/12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 3 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - twenty-one quarters minus eight thirds = thirty-one twelfths.


Related Questions

Anyone? Got an ideas

Answers

I’m sure it’s “0.65428571428” There is not while number in the answer

For each ordered pair in the table, how does the second number compare to the first number... can yall tell me I need to turn it in Tomorrow!!??

Answers

Answer:

The first number in each ordered pair tells how far across the X line is to move. The second number in each ordered pair tells how far up or down the Y line is to move. The point where the X and Y lines cross is marked “0” on the graph. It is called the “origin,” and is the starting point for plotting points.

helpppppppppp it’s multiple choice questions I’ll brainlist!

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Answer:#1 is D

Step-by-step explanation:angles must equal 180 and yk that the angle under e is 39 so 180-39 =141

the answer to ur question is D

length and width of a field are in the ratio 5.3 If the wilth of 아 the field is 42m, then its length is​

Answers

Answer:

The length of the feild is:

    (42 / 3) x 5 = 70m

So the length of the feild is 70m

Hope it helps, Brainliest  please <3

Collect 5 large numbers and 5 small numbers related in life and express them as exponents. Sample- Distance of the Earth from the moon
384400 km = 3.844 × 10⁵ km

Answers

Answer:

Exponential notation is a powerful way to express repeated

multiplication of the same number. Specifically, powers of 10

express very large and very small numbers in a manner which is

convenient to read, write and compare.

• For any non-zero integer a, a–m 1

m a

=

• Laws of exponents are

(a) am × an = am+n

(b) am ÷ an = am–n

(c) (am)

n = amn

(d) am × bm = (ab)

m

(e) a° = 1, where a ≠ 0

(f)

m m

m

a a

b b

  =   

• Numbers can be expressed in expanded form by using exponents.

• Very large and very small numbers can be expressed in standard

form.

• Standard form is also called scientific notation form.

Step-by-step explanation:

Example 1 : Multiplicative inverse of 27 is

(a) 2–7 (b) 72 (c) – 27 (d) – 27

Solution : The Correct answer is (a).

Example 2 : The human body has about 100 billion cells. This number

can be written in exponential form as

(a) 10–11 (b) 1011 (c) 109 (d) 10–9

Solution : The correct answer is (b).

In examples 3 to 5, fill in the blanks to make the statements true.

Example 3 :

4

4 5 (– 4) ______ 4

  × =    

Solution : 54

Example 4 : ( ) ( ) 2 3 –3 –2 2 3 _____ × =

Solution : 6–6

Example 5 : The distance between earth and sun is 150 million

kilometres which can be written in exponential form as

_______.

Solution : 1.5 × 108 km

In examples 6 and 7, state whether the statements are true (T) or false (F):

Example 6 : Very small numbers can be expressed in standard form

using positive exponents.

Solution : False.

Example 7 : (–10) × (–10) × (–10) × (–10) = 10–4

Solution : False.

Step-by-step explanation:

is 9.373 a repeating decimal? is it rational?

Answers

Answer:

Rational

Step-by-step explanation:

Help me with 19 and 20

19 find x

20 find y

Answers

Answer:

19) x = 48

20) y = 21

Step-by-step explanation:

19)

7x - 248 + x + 44 = 180

(because they're supplementary angles)

8x - 204 = 180

8x = 180 + 204

8x = 384

x = 48

20)

2y + 50 + 5y - 17 = 180

7y + 33 = 180

7y = 180 - 33

7y = 147

y = 21

A restaurant chef wants to install a new floor In her kitchen the kitchen measures 8 yards wide and 12 yards long, and the flooring costs $3.00 per square yard. How much will the chefs new floor cost?

Answers

$228 is your correct answer

gm everyone plz help with this question down below :) Who was Sherlock Holmes?
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(cough cough) free, ,points

Answers

Sherlock Holmes is an fictional detective

If a=b+7 and b+7=9, then a=9

Answers

Answer:

a = 9

b = 2

Step-by-step explanation:

Given : a = 9

a = b + 7

9 = b + 7

b = 9 - 7 = 2

How many milligrams are equal to 39 grams?

A 390 milligrams
B 390,000 milligrams
C 3,900 milligrams
D 39,000 milligrams

Answers

how many milligrams are equal to 39 g is 39,000 which is D

Answer:

39000

1 gram=1000milligrams

hence,

39 grams=39×1000milligrams

=39000milligrams

which of the following is the best estimate of the square root of 90

Answers

Answer:

9.5

Step-by-step explanation:

9.5x9.5= 90.25 which is the closest you can get without going into further decimals

Find the sum of the given arithmetic series. 14 + 28 + 42 + 56 + ... + 280

Answers

14 + 28 + 42 + 56 + … 280

= 14 (1 + 2 + 3 + 4 + … + 20)

= 14 × 20 × 21 / 2

= 2940

where we use the well-known identity,

[tex]\displaystyle \sum_{i=1}^ni = 1 + 2 + 3 + \cdots + n = \dfrac{n(n+1)}2[/tex]

Find m<1 if <1 is complementary to <2, <2 is supplementary to <3, and
m<3 = 126

Answers

Answer:

∠ 1 = 36°

Step-by-step explanation:

Supplementary angles sum to 180° then

∠ 2 + ∠ 3 = 180° , that is

∠ 2 + 126° = 180° ( subtract 126° from both sides )

∠ 2 = 54°

Complementary angles sum to 90° , then

∠ 1 + ∠ 2 = 90° , that is

∠ 1 + 54° = 90° ( subtract 54° from both sides )

∠ 1 = 36°

need help with this please..

Answers

Answer: 20/40 is the same as 20•40 or 1•2 and simplifies to 1/2

Answer:

.1/2

Step-by-step explanation:

is the same as 20÷40

which gives you 1/2

Which is greater 55.5% or 3/5

Answers

Answer:

3/5

Step-by-step explanation:

3 divided by 5 is 0.6, which translates to 60%.

55.5% < 60%

Answer:

3/5 is the greater .

I hope it will help you. Have a great day ahead.

What is 6a +9 ≤ -15?

Answers

6a lessthanequalto -24

The answer is A is less than or equal to negative 4

Answer:

a = -5

Step-by-step explanation:

IF A = -5

6 ( - 5 ) + 9

- 30 + 9

-21

-21 is less than -15 so it works

V= 1/3Bh solve for H

A. 3b/v

B. b/3v

C. v/3b

D. 3v/b

Answers

Answer: D

Step-by-step explanation:

v = 1/3bh

3v/b = h

Graph y - 4x + 3 = 0 and {(x , y ): x ≤ 1}. Click on the graph until the correct graph appears.

Answers

the third graph is the correct choice. the graph has a y-intercept at -3, with a slope of 4, and shading to the right of x=1

FIRST ONE TO AWNSER GETS BRAINLYISTAND 50 POINTS
AND MY LOVE !!!!!!!!!!

Answers

Answer:

Answer: c

Step-by-step explanation:

A.

[tex]16 +( 4 \times {5}^{2} ) \\ = 16 + 100 \\ = 116[/tex]

B.

[tex]16 +( 4 \times {5}^{2} ) \\ = 16 \times 100\\ = 116[/tex]

C.

[tex]16 + (4 \times {5}^{2} ) \\ = 16 \times 100\\ = 116[/tex]

D.

[tex]16 + (4 \times {5}^{2} ) \\ = 16 + (4 \times 25) \\ = 16 + 100 \\ = 116[/tex]

Help! I don’t get this ine

Answers

[tex]3|2x+4|-1=11 \ \ /+1\\\\3|2x+4|=12 \ \ /:3\\\\|2x+4|=4\\\\2x+4=4 \ \ \text{or} \ \ 2x+4=-4\\\\2x=0 \ \ \text{or} \ \ 2x=-8\\\\\boxed{x=0} \ \ \text{or} \ \ \boxed{x=-4}[/tex]

plz help me plz and correctly!!!! only 3 questions plz!!!​ 100 points

Answers

Answer:

Step-by-step explanation:

6)b) Sin A - x Cos A = 0

Sin A = x Cos A

[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]

[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]

[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]

         [tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]

          = LHS

7a) 1 - Sin A = 1/2

     [tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]

⇒ A = 30°

Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]

[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]

LHS = 6 Sec² A + 9 tan² A

       [tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]

If a block has a volume of 216 cm³ in length and width of sides respectively 12 cm and 6 cm. What is the height of the cuboid?​

Answers

Step-by-step explanation:

I hope it helped U

Help please ill give you brainlest
Is this correct??

Answers

Most of those are correct but the ones that are not are, (15+8 divided by 4-6) as division comes first. 6x3-8 as multiplication comes before subtraction. And 2/3+4x2, multiplication comes before addition. So change those couple up and you got it.

What is the measure of angle K?
59°
A
m/K
B
g/n
D
A. 180°
B. 58
C. 122
ОО
D. 32

Answers

Answer:

the answer is going to be c

11. Eve reads 25 pages per hour. Write an expression for the number of pages she reads
in h hours.

Answers

Answer:

25h = x

Step-by-step explanation:

If x is the variable for how many pages she reads in total, 25 multiplied by h (the number of hours) will give you the total pages read!

If she read 1 hour she’d read 25 pages.
So;
25 x 1(total hours) = 25xh = 25h

x= -6, Y= 9 and z = -2 evaluate the expression. -5 x Y - (X^4)/ Y-2z

Answers

Answer:

418

Step-by-step explanation:

please make me brainlist

Which absolute value equation shows the distance this temperature reading is from zero?

Answers

|65|=65 as it is 65 from 0, in a positive direction

Here is a room with two lasers. Your goal is to get to the opposite side of the room. However there is a catch; if you do not stay equidistant from each laser, you will be blasted. Describe in a Word document how you would find the straight-line path across the room. Be sure to use correct geometric terminology from what you have learned so far.

Answers

Step-by-step explanation:

we would calculate the line of sight between the 2 lasers.

then we would create a line that goes through the middle point between the 2 lasers and is perpendicular to the line between the lasers. if we are lucky, then "You" is on the same perpendicular line. if not, we need to shift our starting point to a point where the perpendicular line hits the wall of the room.

by following that perpendicular line precisely, we we always have the same distance from both lasers.

the number of people left to play if ten of fifteen have played

Answers

Answer:

5

Step-by-step explanation:

15-10=5

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