What is tofraction 0.77777777 ?

The solution to tofraction 0.77777777 is 3888889/5000000

Convert to a Simplified Fraction 0.77777777

convert to fraction

0.77777777

\frac{3888889}{5000000}

Decimal

0.7777778

Solution steps

0.77777777

Multiply and divide by 10 for every number after the decimal point.

There are

7

digits to the right of the decimal point, therefore multiply and divide by

10000000

= \frac{0.77777777 \cdot 10000000}{10000000}

= \frac{7777778}{10000000}

Reduce the fraction

\frac{7777778}{10000000} : \frac{3888889}{5000000}

\frac{7777778}{10000000}

Find a common factor of

7777778

and

10000000

in order to cancel it out

Greatest Common Divisor of

7777778, 10000000 : 2

7777778, 10000000

Greatest Common Divisor (GCD)

Prime factorization of

7777778

Prime factorization of

10000000

The prime factors common to

7777778, 10000000

are

= 2

Factor out

2

from the numerator and the denominator

7777778 = 2 \cdot 3888889, 10000000 = 2 \cdot 5000000

= \frac{2 \cdot 3888889}{2 \cdot 5000000}

Cancel the common factor:

2

= \frac{3888889}{5000000}

= \frac{3888889}{5000000}

What is tofraction 0.77777777 ?
The solution to tofraction 0.77777777 is 3888889/5000000