Solve 37/10*11/3

$$3 \frac { 7 } { 10 } \times 1 \frac { 1 } { 3 }$$

Evaluate

$$\frac{74}{15}\approx 4.933333333$$

Solution Steps

Multiply 3 and 10 to get 30.

$$\frac{30+7}{10}\times \frac{1\times 3+1}{3}$$

Add 30 and 7 to get 37.

$$\frac{37}{10}\times \frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{37}{10}\times \frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$\frac{37}{10}\times \frac{4}{3}$$

Multiply \frac{37}{10} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{37\times 4}{10\times 3}$$

Do the multiplications in the fraction \frac{37\times 4}{10\times 3}.

$$\frac{148}{30}$$

Reduce the fraction \frac{148}{30} to lowest terms by extracting and canceling out 2.

$$\frac{74}{15}$$

Factor

$$\frac{2 \cdot 37}{3 \cdot 5} = 4\frac{14}{15} = 4.933333333333334$$