Solve 5/0,7+frac{4{5}}

$$\frac { 5 } { 0,7 + \frac { 4 } { 5 } }$$

Evaluate

$$\frac{10}{3}\approx 3,333333333$$

Solution Steps

Convert decimal number 0,7 to fraction \frac{7}{10}.

$$\frac{5}{\frac{7}{10}+\frac{4}{5}}$$

Least common multiple of 10 and 5 is 10. Convert \frac{7}{10} and \frac{4}{5} to fractions with denominator 10.

$$\frac{5}{\frac{7}{10}+\frac{8}{10}}$$

Since \frac{7}{10} and \frac{8}{10} have the same denominator, add them by adding their numerators.

$$\frac{5}{\frac{7+8}{10}}$$

Add 7 and 8 to get 15.

$$\frac{5}{\frac{15}{10}}$$

Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{5}{\frac{3}{2}}$$

Divide 5 by \frac{3}{2} by multiplying 5 by the reciprocal of \frac{3}{2}.

$$5\times \frac{2}{3}$$

Express 5\times \frac{2}{3} as a single fraction.

$$\frac{5\times 2}{3}$$

Multiply 5 and 2 to get 10.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$