Solve 0.1+7777/9999

$$0.1+ \frac{ 7777 }{ 9999 }$$

Evaluate

$$\frac{79}{90}\approx 0.877777778$$

Solution Steps

Reduce the fraction \frac{7777}{9999} to lowest terms by extracting and canceling out 1111.

$$0.1+\frac{7}{9}$$

Convert decimal number 0.1 to fraction \frac{1}{10}.

$$\frac{1}{10}+\frac{7}{9}$$

Least common multiple of 10 and 9 is 90. Convert \frac{1}{10} and \frac{7}{9} to fractions with denominator 90.

$$\frac{9}{90}+\frac{70}{90}$$

Since \frac{9}{90} and \frac{70}{90} have the same denominator, add them by adding their numerators.

$$\frac{9+70}{90}$$

Add 9 and 70 to get 79.

$$\frac{79}{90}$$

Factor

$$\frac{79}{2 \cdot 5 \cdot 3 ^ {2}} = 0.8777777777777778$$