Solve 23/4*15/7

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

Evaluate

$$\frac{33}{7}\approx 4.714285714$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+3}{4}\times \frac{1\times 7+5}{7}$$

Add 8 and 3 to get 11.

$$\frac{11}{4}\times \frac{1\times 7+5}{7}$$

Multiply 1 and 7 to get 7.

$$\frac{11}{4}\times \frac{7+5}{7}$$

Add 7 and 5 to get 12.

$$\frac{11}{4}\times \frac{12}{7}$$

Multiply \frac{11}{4} times \frac{12}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 12}{4\times 7}$$

Do the multiplications in the fraction \frac{11\times 12}{4\times 7}.

$$\frac{132}{28}$$

Reduce the fraction \frac{132}{28} to lowest terms by extracting and canceling out 4.

$$\frac{33}{7}$$

Factor

$$\frac{3 \cdot 11}{7} = 4\frac{5}{7} = 4.714285714285714$$