Solve (23/16-1/8)*13/5=

$$(2 \frac{ 3 }{ 16 } - \frac{ 1 }{ 8 } ) \times 1 \frac{ 3 }{ 5 } =$$

Evaluate

$$\frac{33}{10}=3.3$$

Solution Steps

Multiply 2 and 16 to get 32.

$$\left(\frac{32+3}{16}-\frac{1}{8}\right)\times \frac{1\times 5+3}{5}$$

Add 32 and 3 to get 35.

$$\left(\frac{35}{16}-\frac{1}{8}\right)\times \frac{1\times 5+3}{5}$$

Least common multiple of 16 and 8 is 16. Convert \frac{35}{16} and \frac{1}{8} to fractions with denominator 16.

$$\left(\frac{35}{16}-\frac{2}{16}\right)\times \frac{1\times 5+3}{5}$$

Since \frac{35}{16} and \frac{2}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-2}{16}\times \frac{1\times 5+3}{5}$$

Subtract 2 from 35 to get 33.

$$\frac{33}{16}\times \frac{1\times 5+3}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{33}{16}\times \frac{5+3}{5}$$

Add 5 and 3 to get 8.

$$\frac{33}{16}\times \frac{8}{5}$$

Multiply \frac{33}{16} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{33\times 8}{16\times 5}$$

Do the multiplications in the fraction \frac{33\times 8}{16\times 5}.

$$\frac{264}{80}$$

Reduce the fraction \frac{264}{80} to lowest terms by extracting and canceling out 8.

$$\frac{33}{10}$$

Factor

$$\frac{3 \cdot 11}{2 \cdot 5} = 3\frac{3}{10} = 3.3$$