What is dectofrac 0.77 ?

The solution to dectofrac 0.77 is 77/100

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Popular >

Convert to a Simplified Fraction 0.77

Solution

decimal to fraction

0.77

Solution

\frac{77}{100}

Solution steps

0.77

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{0.77 \cdot 100}{100}

= \frac{77}{100}

Reduce the fraction

\frac{77}{100} : \frac{77}{100}

\frac{77}{100}

Find a common factor of

77

and

100

in order to cancel it out

Greatest Common Divisor of

77, 100 : 1

77, 100

Greatest Common Divisor (GCD)

Prime factorization of

77 : 7 \cdot 11

77

77

divides by

777 = 11 \cdot 7

= 7 \cdot 11

7, 11

are all prime numbers, therefore no further factorization is possible

= 7 \cdot 11

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

77

and

100

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{77}{100}

= \frac{77}{100}

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Frequently Asked Questions (FAQ)

What is dectofrac 0.77 ?
The solution to dectofrac 0.77 is 77/100