Solve 7/3-3(-5/7)

$$\frac { 7 } { 3 } - 3 ( - \frac { 5 } { 7 } )$$

Evaluate

$$\frac{94}{21}\approx 4.476190476$$

Solution Steps

Express 3\left(-\frac{5}{7}\right) as a single fraction.

$$\frac{7}{3}-\frac{3\left(-5\right)}{7}$$

Multiply 3 and -5 to get -15.

$$\frac{7}{3}-\frac{-15}{7}$$

Fraction \frac{-15}{7} can be rewritten as -\frac{15}{7} by extracting the negative sign.

$$\frac{7}{3}-\left(-\frac{15}{7}\right)$$

The opposite of -\frac{15}{7} is \frac{15}{7}.

$$\frac{7}{3}+\frac{15}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{7}{3} and \frac{15}{7} to fractions with denominator 21.

$$\frac{49}{21}+\frac{45}{21}$$

Since \frac{49}{21} and \frac{45}{21} have the same denominator, add them by adding their numerators.

$$\frac{49+45}{21}$$

Add 49 and 45 to get 94.

$$\frac{94}{21}$$

Factor

$$\frac{2 \cdot 47}{3 \cdot 7} = 4\frac{10}{21} = 4.476190476190476$$