Solve -7(1/14-3/15)=

$$- 7 ( \frac { 1 } { 14 } - \frac { 3 } { 15 } ) =$$

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

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

$$-7\left(\frac{1}{14}-\frac{1}{5}\right)$$

Least common multiple of 14 and 5 is 70. Convert \frac{1}{14} and \frac{1}{5} to fractions with denominator 70.

$$-7\left(\frac{5}{70}-\frac{14}{70}\right)$$

Since \frac{5}{70} and \frac{14}{70} have the same denominator, subtract them by subtracting their numerators.

$$-7\times \frac{5-14}{70}$$

Subtract 14 from 5 to get -9.

$$-7\left(-\frac{9}{70}\right)$$

Express -7\left(-\frac{9}{70}\right) as a single fraction.

$$\frac{-7\left(-9\right)}{70}$$

Multiply -7 and -9 to get 63.

$$\frac{63}{70}$$

Reduce the fraction \frac{63}{70} to lowest terms by extracting and canceling out 7.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$