Solve 560*(1/8+3/16)

$$560 \times ( \frac { 1 } { 8 } + \frac { 3 } { 16 } )$$

Evaluate

$$175$$

Solution Steps

Least common multiple of 8 and 16 is 16. Convert \frac{1}{8} and \frac{3}{16} to fractions with denominator 16.

$$560\left(\frac{2}{16}+\frac{3}{16}\right)$$

Since \frac{2}{16} and \frac{3}{16} have the same denominator, add them by adding their numerators.

$$560\times \frac{2+3}{16}$$

Add 2 and 3 to get 5.

$$560\times \frac{5}{16}$$

Express 560\times \frac{5}{16} as a single fraction.

$$\frac{560\times 5}{16}$$

Multiply 560 and 5 to get 2800.

$$\frac{2800}{16}$$

Divide 2800 by 16 to get 175.

$$175$$

Factor

$$5^{2}\times 7$$