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drek231 [11]
3 years ago
8

Which simplified fraction is equal to 0.53 (the 3 is repeating)

Mathematics
2 answers:
Anni [7]3 years ago
8 0
Answer: B
explanation: just divide 8/15
Cerrena [4.2K]3 years ago
6 0
<h3>Answer:  Choice B. 8/15</h3>

===========================================================

Explanation:

x = 0.53333333... the 3's go on forever

10x = 5.3333333..... we have infinitely many 3's here as well

100x = 53.333333..... same story

Each time we multiply both sides by 10, we move the decimal point over 1 spot to the right.

Focus on this system of equations

\begin{cases}100x = 53.33333\ldots\\\ \ \  10x = 5.333333\ldots\end{cases}

Note how the decimal points line up so we can see both right sides have the same 33333... pattern

If we subtract those equations straight down, the left hand side turns into 90x because 100x-10x = 90x

The right hand side terms subtract to 48. The infinite number of 3's after the decimal will cancel out when we subtract. So we basically have 53-5 = 48.

After those subtractions, we now have the new equation 90x = 48

Divide both sides by 90 and reduce

90x = 48

90x/90 = 48/90

x = 48/90

x = (6*8)/(6*15)

x = 8/15

8/15 = 0.53333333....

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lisov135 [29]

Answer:

answer for 1

5 3/4 - 2 1/4 = 7

2

= 3 1

2

= 3.5

Spelled result in words is seven halfs (or three and one half).

How do you solve fractions step by step?

Conversion a mixed number 5 3

4

to a improper fraction: 5 3/4 = 5 3

4

= 5 · 4 + 3

4

= 20 + 3

4

= 23

4

To find new numerator:

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

4

= 20

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b) Add the answer from previous step 20 to the numerator 3. New numerator is 20 + 3 = 23

c) Write a previous answer (new numerator 23) over the denominator 4.

Five and three quarters is twenty-three quarters

Conversion a mixed number 2 1

4

to a improper fraction: 2 1/4 = 2 1

4

= 2 · 4 + 1

4

= 8 + 1

4

= 9

4

To find new numerator:

a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4

4

= 8

4

b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9

c) Write a previous answer (new numerator 9) over the denominator 4.

Two and one quarter is nine quarters

Subtract: 23

4

- 9

4

= 23 - 9

4

= 14

4

= 2 · 7

2 · 2

= 7

2

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 the both denominators - LCM(4, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 4 = 16. In the next intermediate step , cancel by a common factor of 2 gives 7

2

.

In words - twenty-three quarters minus nine quarters = seven halfs.

Step-by-step explanation:

answer for 27 2/3 + 2 1/5 = 148

15

= 9 13

15

≅ 9.8666667

Spelled result in words is one hundred forty-eight fifteenths (or nine and thirteen fifteenths).

How do you solve fractions step by step?

Conversion a mixed number 7 2

3

to a improper fraction: 7 2/3 = 7 2

3

= 7 · 3 + 2

3

= 21 + 2

3

= 23

3

To find new numerator:

a) Multiply the whole number 7 by the denominator 3. Whole number 7 equally 7 * 3

3

= 21

3

b) Add the answer from previous step 21 to the numerator 2. New numerator is 21 + 2 = 23

c) Write a previous answer (new numerator 23) over the denominator 3.

Seven and two thirds is twenty-three thirds

Conversion a mixed number 2 1

5

to a improper fraction: 2 1/5 = 2 1

5

= 2 · 5 + 1

5

= 10 + 1

5

= 11

5

To find new numerator:

a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5

5

= 10

5

b) Add the answer from previous step 10 to the numerator 1. New numerator is 10 + 1 = 11

c) Write a previous answer (new numerator 11) over the denominator 5.

Two and one fifth is eleven fifths

Add: 23

3

+ 11

5

= 23 · 5

3 · 5

+ 11 · 3

5 · 3

= 115

15

+ 33

15

= 115 + 33

15

= 148

15

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 the both denominators - LCM(3, 5) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 5 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - twenty-three thirds plus eleven fifths = one hundred forty-eight fifteenths mark me brainlist if i help

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75x+2=
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\begin{gathered}\\ \sf\longmapsto\cancel{\dfrac{80}{5}} \end{gathered}

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