Solve 2,20*0,75+3/5:1/8=

$$2,20 \times 0,75 + \frac { 3 } { 5 } : \frac { 1 } { 8 } =$$

Evaluate

$$6,45$$

Solution Steps

Multiply 2,2 and 0,75 to get 1,65.

$$1,65+\frac{\frac{3}{5}}{\frac{1}{8}}$$

Divide \frac{3}{5} by \frac{1}{8} by multiplying \frac{3}{5} by the reciprocal of \frac{1}{8}.

$$1,65+\frac{3}{5}\times 8$$

Express \frac{3}{5}\times 8 as a single fraction.

$$1,65+\frac{3\times 8}{5}$$

Multiply 3 and 8 to get 24.

$$1,65+\frac{24}{5}$$

Convert decimal number 1,65 to fraction \frac{165}{100}. Reduce the fraction \frac{165}{100} to lowest terms by extracting and canceling out 5.

$$\frac{33}{20}+\frac{24}{5}$$

Least common multiple of 20 and 5 is 20. Convert \frac{33}{20} and \frac{24}{5} to fractions with denominator 20.

$$\frac{33}{20}+\frac{96}{20}$$

Since \frac{33}{20} and \frac{96}{20} have the same denominator, add them by adding their numerators.

$$\frac{33+96}{20}$$

Add 33 and 96 to get 129.

$$\frac{129}{20}$$

Factor

$$\frac{3 \cdot 43}{5 \cdot 2 ^ {2}} = 6\frac{9}{20} = 6.45$$