What is tofraction 0.175 ?

The solution to tofraction 0.175 is 7/40

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Popular >

Convert to a Simplified Fraction 0.175

Solution

convert to fraction

0.175

Solution

\frac{7}{40}

Solution steps

0.175

Multiply and divide by 10 for every number after the decimal point.

There are

3

digits to the right of the decimal point, therefore multiply and divide by

1000

= \frac{0.175 \cdot 1000}{1000}

= \frac{175}{1000}

Reduce the fraction

\frac{175}{1000} : \frac{7}{40}

\frac{175}{1000}

Find a common factor of

175

and

1000

in order to cancel it out

Greatest Common Divisor of

175, 1000 : 25

175, 1000

Greatest Common Divisor (GCD)

Prime factorization of

175 : 5 \cdot 5 \cdot 7

175

175

divides by

5175 = 35 \cdot 5

= 5 \cdot 35

35

divides by

535 = 7 \cdot 5

= 5 \cdot 5 \cdot 7

5, 7

are all prime numbers, therefore no further factorization is possible

= 5 \cdot 5 \cdot 7

Prime factorization of

1000 : 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5

1000

1000

divides by

21000 = 500 \cdot 2

= 2 \cdot 500

500

divides by

2500 = 250 \cdot 2

= 2 \cdot 2 \cdot 250

250

divides by

2250 = 125 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 125

125

divides by

5125 = 25 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 25

25

divides by

525 = 5 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5

The prime factors common to

175, 1000

are

= 5 \cdot 5

Multiply the numbers:

5 \cdot 5 = 25

= 25

Factor out

25

from the numerator and the denominator

175 = 25 \cdot 7, 1000 = 25 \cdot 40

= \frac{25 \cdot 7}{25 \cdot 40}

Cancel the common factor:

25

= \frac{7}{40}

= \frac{7}{40}

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\frac{190}{2}

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6, 15, 20

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\frac{156}{13}

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Convert to a Mixed Number 2.25 mixed number

2.25

Frequently Asked Questions (FAQ)

What is tofraction 0.175 ?
The solution to tofraction 0.175 is 7/40