Solve 31/7-2/3*5/7=

$$3 \frac { 1 } { 7 } - \frac { 2 } { 3 } \times \frac { 5 } { 7 } =$$

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

Multiply 3 and 7 to get 21.

$$\frac{21+1}{7}-\frac{2}{3}\times \frac{5}{7}$$

Add 21 and 1 to get 22.

$$\frac{22}{7}-\frac{2}{3}\times \frac{5}{7}$$

Multiply \frac{2}{3} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22}{7}-\frac{2\times 5}{3\times 7}$$

Do the multiplications in the fraction \frac{2\times 5}{3\times 7}.

$$\frac{22}{7}-\frac{10}{21}$$

Least common multiple of 7 and 21 is 21. Convert \frac{22}{7} and \frac{10}{21} to fractions with denominator 21.

$$\frac{66}{21}-\frac{10}{21}$$

Since \frac{66}{21} and \frac{10}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{66-10}{21}$$

Subtract 10 from 66 to get 56.

$$\frac{56}{21}$$

Reduce the fraction \frac{56}{21} to lowest terms by extracting and canceling out 7.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$