What is dectofrac 1.777777778 ?

The solution to dectofrac 1.777777778 is 1 3888889/5000000

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Convert to a Simplified Fraction 1.777777778

decimal to fraction

1.777777778

1 \frac{3888889}{5000000}

Solution steps

1.77777 \dots

Rewrite as

= 1 + 0.77777 \dots

Convert

0.77777 \dots

to a fraction:

\frac{3888889}{5000000}

0.77777 \dots

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{0.77777 \dots \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}

= 1 + \frac{3888889}{5000000}

= 1 \frac{3888889}{5000000}

\frac{16}{7}

\frac{49}{50}

\frac{88}{4}

\frac{90}{39}

18

What is dectofrac 1.777777778 ?
The solution to dectofrac 1.777777778 is 1 3888889/5000000