Solve 5/8*7+15*5/8+25/8

$$\frac { 5 } { 8 } \times 7 + 15 \times \frac { 5 } { 8 } + 2 \frac { 5 } { 8 }$$

Evaluate

$$\frac{131}{8}=16.375$$

Solution Steps

Express \frac{5}{8}\times 7 as a single fraction.

$$\frac{5\times 7}{8}+15\times \frac{5}{8}+\frac{2\times 8+5}{8}$$

Multiply 5 and 7 to get 35.

$$\frac{35}{8}+15\times \frac{5}{8}+\frac{2\times 8+5}{8}$$

Express 15\times \frac{5}{8} as a single fraction.

$$\frac{35}{8}+\frac{15\times 5}{8}+\frac{2\times 8+5}{8}$$

Multiply 15 and 5 to get 75.

$$\frac{35}{8}+\frac{75}{8}+\frac{2\times 8+5}{8}$$

Since \frac{35}{8} and \frac{75}{8} have the same denominator, add them by adding their numerators.

$$\frac{35+75}{8}+\frac{2\times 8+5}{8}$$

Add 35 and 75 to get 110.

$$\frac{110}{8}+\frac{2\times 8+5}{8}$$

Reduce the fraction \frac{110}{8} to lowest terms by extracting and canceling out 2.

$$\frac{55}{4}+\frac{2\times 8+5}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{55}{4}+\frac{16+5}{8}$$

Add 16 and 5 to get 21.

$$\frac{55}{4}+\frac{21}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{55}{4} and \frac{21}{8} to fractions with denominator 8.

$$\frac{110}{8}+\frac{21}{8}$$

Since \frac{110}{8} and \frac{21}{8} have the same denominator, add them by adding their numerators.

$$\frac{110+21}{8}$$

Add 110 and 21 to get 131.

$$\frac{131}{8}$$

Factor

$$\frac{131}{2 ^ {3}} = 16\frac{3}{8} = 16.375$$