Solve 37/16*314*37/16

$$\frac{ 37 }{ 16 } \times 314 \times \frac{ 37 }{ 16 }$$

Evaluate

$$\frac{214933}{128}=1679.1640625$$

Solution Steps

Express \frac{37}{16}\times 314 as a single fraction.

$$\frac{37\times 314}{16}\times \frac{37}{16}$$

Multiply 37 and 314 to get 11618.

$$\frac{11618}{16}\times \frac{37}{16}$$

Reduce the fraction \frac{11618}{16} to lowest terms by extracting and canceling out 2.

$$\frac{5809}{8}\times \frac{37}{16}$$

Multiply \frac{5809}{8} times \frac{37}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5809\times 37}{8\times 16}$$

Do the multiplications in the fraction \frac{5809\times 37}{8\times 16}.

$$\frac{214933}{128}$$

Factor

$$\frac{37 ^ {2} \cdot 157}{2 ^ {7}} = 1679\frac{21}{128} = 1679.1640625$$