What is dectofrac 1.56 ?

The solution to dectofrac 1.56 is 1 14/25

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Popular >

Convert to a Simplified Fraction 1.56

Solution

decimal to fraction

1.56

Solution

1 \frac{14}{25}

Solution steps

1.56

Rewrite as

= 1 + 0.56

Convert

0.56

to a fraction:

\frac{14}{25}

0.56

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{0.56 \cdot 100}{100}

= \frac{56}{100}

Reduce the fraction

\frac{56}{100} : \frac{14}{25}

\frac{56}{100}

Find a common factor of

56

and

100

in order to cancel it out

Greatest Common Divisor of

56, 100 : 4

56, 100

Greatest Common Divisor (GCD)

Prime factorization of

56 : 2 \cdot 2 \cdot 2 \cdot 7

56

56

divides by

256 = 28 \cdot 2

= 2 \cdot 28

28

divides by

228 = 14 \cdot 2

= 2 \cdot 2 \cdot 14

14

divides by

214 = 7 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 7

2, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 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

56, 100

are

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Factor out

4

from the numerator and the denominator

56 = 4 \cdot 14, 100 = 4 \cdot 25

= \frac{4 \cdot 14}{4 \cdot 25}

Cancel the common factor:

4

= \frac{14}{25}

= \frac{14}{25}

= 1 + \frac{14}{25}

= 1 \frac{14}{25}

Popular Examples

Convert to a Mixed Number 7/2 mixed number

\frac{7}{2}

Convert to a Simplified Fraction 8.9 decimal to fraction

8.9

0.05*50 long multiplication

0.05 \cdot 50

Convert to a Mixed Number 55/8 mixed number

\frac{55}{8}

Convert to an Improper Fraction -5 2/5 improper fraction

- 5 \frac{2}{5}

Frequently Asked Questions (FAQ)

What is dectofrac 1.56 ?
The solution to dectofrac 1.56 is 1 14/25