What is tofraction 0.28 ?

The solution to tofraction 0.28 is 7/25

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Popular >

Convert to a Simplified Fraction 0.28

Solution

convert to fraction

0.28

Solution

\frac{7}{25}

Solution steps

0.28

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

There are

2

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

100

= \frac{0.28 \cdot 100}{100}

= \frac{28}{100}

Reduce the fraction

\frac{28}{100} : \frac{7}{25}

\frac{28}{100}

Find a common factor of

28

and

100

in order to cancel it out

Greatest Common Divisor of

28, 100 : 4

28, 100

Greatest Common Divisor (GCD)

Prime factorization of

28 : 2 \cdot 2 \cdot 7

28

28

divides by

228 = 14 \cdot 2

= 2 \cdot 14

14

divides by

214 = 7 \cdot 2

= 2 \cdot 2 \cdot 7

2, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 7

Prime factorization of

100 : 2 \cdot 2 \cdot 5 \cdot 5

100

100

divides by

2100 = 50 \cdot 2

= 2 \cdot 50

50

divides by

250 = 25 \cdot 2

= 2 \cdot 2 \cdot 25

25

divides by

525 = 5 \cdot 5

= 2 \cdot 2 \cdot 5 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 5 \cdot 5

The prime factors common to

28, 100

are

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Factor out

4

from the numerator and the denominator

28 = 4 \cdot 7, 100 = 4 \cdot 25

= \frac{4 \cdot 7}{4 \cdot 25}

Cancel the common factor:

4

= \frac{7}{25}

= \frac{7}{25}

Popular Examples

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\frac{34}{7}

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t o a p erce n t a g e 8.2

Convert to an Improper Fraction 2 1/6 improper fraction

2 \frac{1}{6}

Convert to a Simplified Fraction 13.3333 convert to fraction

13.3333

Find the Possible Factors 280 positive factors of

280

Frequently Asked Questions (FAQ)

What is tofraction 0.28 ?
The solution to tofraction 0.28 is 7/25