What is dectofrac 0.64 ?

The solution to dectofrac 0.64 is 16/25

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Popular >

Convert to a Simplified Fraction 0.64

Solution

decimal to fraction

0.64

Solution

\frac{16}{25}

Solution steps

0.64

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{0.64 \cdot 100}{100}

= \frac{64}{100}

Reduce the fraction

\frac{64}{100} : \frac{16}{25}

\frac{64}{100}

Find a common factor of

64

and

100

in order to cancel it out

Greatest Common Divisor of

64, 100 : 4

64, 100

Greatest Common Divisor (GCD)

Prime factorization of

64 : 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2

64

64

divides by

264 = 32 \cdot 2

= 2 \cdot 32

32

divides by

232 = 16 \cdot 2

= 2 \cdot 2 \cdot 16

16

divides by

216 = 8 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 4

4

divides by

24 = 2 \cdot 2

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

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

64, 100

are

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Factor out

4

from the numerator and the denominator

64 = 4 \cdot 16, 100 = 4 \cdot 25

= \frac{4 \cdot 16}{4 \cdot 25}

Cancel the common factor:

4

= \frac{16}{25}

= \frac{16}{25}

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Frequently Asked Questions (FAQ)

What is dectofrac 0.64 ?
The solution to dectofrac 0.64 is 16/25