Solve 15/7-12/5=

$$1 \frac { 5 } { 7 } - 1 \frac { 2 } { 5 } =$$

Evaluate

$$\frac{11}{35}\approx 0.314285714$$

Solution Steps

Multiply 1 and 7 to get 7.

$$\frac{7+5}{7}-\frac{1\times 5+2}{5}$$

Add 7 and 5 to get 12.

$$\frac{12}{7}-\frac{1\times 5+2}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{12}{7}-\frac{5+2}{5}$$

Add 5 and 2 to get 7.

$$\frac{12}{7}-\frac{7}{5}$$

Least common multiple of 7 and 5 is 35. Convert \frac{12}{7} and \frac{7}{5} to fractions with denominator 35.

$$\frac{60}{35}-\frac{49}{35}$$

Since \frac{60}{35} and \frac{49}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{60-49}{35}$$

Subtract 49 from 60 to get 11.

$$\frac{11}{35}$$

Factor

$$\frac{11}{5 \cdot 7} = 0.3142857142857143$$