Solve 52/15*26/7*32/11

$$5 \frac { 2 } { 15 } \times 2 \frac { 6 } { 7 } \times 3 \frac { 2 } { 11 }$$

Evaluate

$$\frac{140}{3}\approx 46.666666667$$

Solution Steps

Multiply 5 and 15 to get 75.

$$\frac{75+2}{15}\times \frac{2\times 7+6}{7}\times \frac{3\times 11+2}{11}$$

Add 75 and 2 to get 77.

$$\frac{77}{15}\times \frac{2\times 7+6}{7}\times \frac{3\times 11+2}{11}$$

Multiply 2 and 7 to get 14.

$$\frac{77}{15}\times \frac{14+6}{7}\times \frac{3\times 11+2}{11}$$

Add 14 and 6 to get 20.

$$\frac{77}{15}\times \frac{20}{7}\times \frac{3\times 11+2}{11}$$

Multiply \frac{77}{15} times \frac{20}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{77\times 20}{15\times 7}\times \frac{3\times 11+2}{11}$$

Do the multiplications in the fraction \frac{77\times 20}{15\times 7}.

$$\frac{1540}{105}\times \frac{3\times 11+2}{11}$$

Reduce the fraction \frac{1540}{105} to lowest terms by extracting and canceling out 35.

$$\frac{44}{3}\times \frac{3\times 11+2}{11}$$

Multiply 3 and 11 to get 33.

$$\frac{44}{3}\times \frac{33+2}{11}$$

Add 33 and 2 to get 35.

$$\frac{44}{3}\times \frac{35}{11}$$

Multiply \frac{44}{3} times \frac{35}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{44\times 35}{3\times 11}$$

Do the multiplications in the fraction \frac{44\times 35}{3\times 11}.

$$\frac{1540}{33}$$

Reduce the fraction \frac{1540}{33} to lowest terms by extracting and canceling out 11.

$$\frac{140}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 7}{3} = 46\frac{2}{3} = 46.666666666666664$$