Solve 42/7*13/5.

$$4 \frac { 2 } { 7 } \times 1 \frac { 3 } { 5 } .$$

Evaluate

$$\frac{48}{7}\approx 6.857142857$$

Solution Steps

Multiply 4 and 7 to get 28.

$$\frac{28+2}{7}\times \frac{1\times 5+3}{5}$$

Add 28 and 2 to get 30.

$$\frac{30}{7}\times \frac{1\times 5+3}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{30}{7}\times \frac{5+3}{5}$$

Add 5 and 3 to get 8.

$$\frac{30}{7}\times \frac{8}{5}$$

Multiply \frac{30}{7} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{30\times 8}{7\times 5}$$

Do the multiplications in the fraction \frac{30\times 8}{7\times 5}.

$$\frac{240}{35}$$

Reduce the fraction \frac{240}{35} to lowest terms by extracting and canceling out 5.

$$\frac{48}{7}$$

Factor

$$\frac{2 ^ {4} \cdot 3}{7} = 6\frac{6}{7} = 6.857142857142857$$