Solve 7div5+6div15+5div15+4div15

$$7 \div 5+6 \div 15+5 \div 15+4 \div 15$$

Evaluate

$$\frac{12}{5}=2.4$$

Solution Steps

Reduce the fraction \frac{6}{15} to lowest terms by extracting and canceling out 3.

$$\frac{7}{5}+\frac{2}{5}+\frac{5}{15}+\frac{4}{15}$$

Since \frac{7}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{7+2}{5}+\frac{5}{15}+\frac{4}{15}$$

Add 7 and 2 to get 9.

$$\frac{9}{5}+\frac{5}{15}+\frac{4}{15}$$

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

$$\frac{9}{5}+\frac{1}{3}+\frac{4}{15}$$

Least common multiple of 5 and 3 is 15. Convert \frac{9}{5} and \frac{1}{3} to fractions with denominator 15.

$$\frac{27}{15}+\frac{5}{15}+\frac{4}{15}$$

Since \frac{27}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$\frac{27+5}{15}+\frac{4}{15}$$

Add 27 and 5 to get 32.

$$\frac{32}{15}+\frac{4}{15}$$

Since \frac{32}{15} and \frac{4}{15} have the same denominator, add them by adding their numerators.

$$\frac{32+4}{15}$$

Add 32 and 4 to get 36.

$$\frac{36}{15}$$

Reduce the fraction \frac{36}{15} to lowest terms by extracting and canceling out 3.

$$\frac{12}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3}{5} = 2\frac{2}{5} = 2.4$$