What is tofraction-1.28 ?

The solution to tofraction-1.28 is -1 7/25

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Popular >

Convert to a Simplified Fraction -1.28

Solution

convert to fraction

- 1.28

Solution

- 1 \frac{7}{25}

Solution steps

- 1.28

Rewrite as

= - 1 - 0.28

Convert

0.28

to a fraction:

\frac{7}{25}

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}

= - 1 - \frac{7}{25}

= - 1 \frac{7}{25}

Popular Examples

Find the GCF 72 , 24 gcf

72, 24

Convert to a Percentage 5/16 convert

t o a p erce n t a g e 5/16

Divide 20/0.5 long division

\frac{20}{0.5}

Convert to a Mixed Number 3.625 mixed number

3.625

Reduce the Fraction 11/36 reduce fraction

t h e \frac{11}{36}

Frequently Asked Questions (FAQ)

What is tofraction-1.28 ?
The solution to tofraction-1.28 is -1 7/25