Solve 42/3*91/11*42/5=

$$4 \frac { 2 } { 3 } \times 9 \frac { 1 } { 11 } \times 4 \frac { 2 } { 5 } =$$

Evaluate

$$\frac{560}{3}\approx 186.666666667$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{12+2}{3}\times \frac{9\times 11+1}{11}\times \frac{4\times 5+2}{5}$$

Add 12 and 2 to get 14.

$$\frac{14}{3}\times \frac{9\times 11+1}{11}\times \frac{4\times 5+2}{5}$$

Multiply 9 and 11 to get 99.

$$\frac{14}{3}\times \frac{99+1}{11}\times \frac{4\times 5+2}{5}$$

Add 99 and 1 to get 100.

$$\frac{14}{3}\times \frac{100}{11}\times \frac{4\times 5+2}{5}$$

Multiply \frac{14}{3} times \frac{100}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 100}{3\times 11}\times \frac{4\times 5+2}{5}$$

Do the multiplications in the fraction \frac{14\times 100}{3\times 11}.

$$\frac{1400}{33}\times \frac{4\times 5+2}{5}$$

Multiply 4 and 5 to get 20.

$$\frac{1400}{33}\times \frac{20+2}{5}$$

Add 20 and 2 to get 22.

$$\frac{1400}{33}\times \frac{22}{5}$$

Multiply \frac{1400}{33} times \frac{22}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1400\times 22}{33\times 5}$$

Do the multiplications in the fraction \frac{1400\times 22}{33\times 5}.

$$\frac{30800}{165}$$

Reduce the fraction \frac{30800}{165} to lowest terms by extracting and canceling out 55.

$$\frac{560}{3}$$

Factor

$$\frac{2 ^ {4} \cdot 5 \cdot 7}{3} = 186\frac{2}{3} = 186.66666666666666$$