What is dectofrac 0.71 ?

The solution to dectofrac 0.71 is 71/100

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Convert to a Simplified Fraction 0.71

decimal to fraction

0.71

\frac{71}{100}

Solution steps

0.71

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{0.71 \cdot 100}{100}

= \frac{71}{100}

Reduce the fraction

\frac{71}{100} : \frac{71}{100}

\frac{71}{100}

Find a common factor of

71

and

100

in order to cancel it out

Greatest Common Divisor of

71, 100 : 1

71, 100

Greatest Common Divisor (GCD)

Prime factorization of

71 : 71

71

71

is a prime number, therefore no factorization is possible

= 71

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

No common factor for

71

and

100

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{71}{100}

= \frac{71}{100}

3.15

\frac{47}{9}

\frac{5}{12}

180 \cdot 4

2 \frac{2}{3}