Solve 7/5+8/35-9/21=

$$\frac { 7 } { 5 } + \frac { 8 } { 35 } - \frac { 9 } { 21 } =$$

Evaluate

$$\frac{6}{5}=1.2$$

Solution Steps

Least common multiple of 5 and 35 is 35. Convert \frac{7}{5} and \frac{8}{35} to fractions with denominator 35.

$$\frac{49}{35}+\frac{8}{35}-\frac{9}{21}$$

Since \frac{49}{35} and \frac{8}{35} have the same denominator, add them by adding their numerators.

$$\frac{49+8}{35}-\frac{9}{21}$$

Add 49 and 8 to get 57.

$$\frac{57}{35}-\frac{9}{21}$$

Reduce the fraction \frac{9}{21} to lowest terms by extracting and canceling out 3.

$$\frac{57}{35}-\frac{3}{7}$$

Least common multiple of 35 and 7 is 35. Convert \frac{57}{35} and \frac{3}{7} to fractions with denominator 35.

$$\frac{57}{35}-\frac{15}{35}$$

Since \frac{57}{35} and \frac{15}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{57-15}{35}$$

Subtract 15 from 57 to get 42.

$$\frac{42}{35}$$

Reduce the fraction \frac{42}{35} to lowest terms by extracting and canceling out 7.

$$\frac{6}{5}$$

Factor

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$$