Solve 7/8+2/3*1/10+1/8

$$\frac { 7 } { 8 } + \frac { 2 } { 3 } \times \frac { 1 } { 10 } + \frac { 1 } { 8 }$$

Evaluate

$$\frac{16}{15}\approx 1.066666667$$

Solution Steps

Multiply \frac{2}{3} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{8}+\frac{2\times 1}{3\times 10}+\frac{1}{8}$$

Do the multiplications in the fraction \frac{2\times 1}{3\times 10}.

$$\frac{7}{8}+\frac{2}{30}+\frac{1}{8}$$

Reduce the fraction \frac{2}{30} to lowest terms by extracting and canceling out 2.

$$\frac{7}{8}+\frac{1}{15}+\frac{1}{8}$$

Least common multiple of 8 and 15 is 120. Convert \frac{7}{8} and \frac{1}{15} to fractions with denominator 120.

$$\frac{105}{120}+\frac{8}{120}+\frac{1}{8}$$

Since \frac{105}{120} and \frac{8}{120} have the same denominator, add them by adding their numerators.

$$\frac{105+8}{120}+\frac{1}{8}$$

Add 105 and 8 to get 113.

$$\frac{113}{120}+\frac{1}{8}$$

Least common multiple of 120 and 8 is 120. Convert \frac{113}{120} and \frac{1}{8} to fractions with denominator 120.

$$\frac{113}{120}+\frac{15}{120}$$

Since \frac{113}{120} and \frac{15}{120} have the same denominator, add them by adding their numerators.

$$\frac{113+15}{120}$$

Add 113 and 15 to get 128.

$$\frac{128}{120}$$

Reduce the fraction \frac{128}{120} to lowest terms by extracting and canceling out 8.

$$\frac{16}{15}$$

Factor

$$\frac{2 ^ {4}}{3 \cdot 5} = 1\frac{1}{15} = 1.0666666666666667$$