Solve 5/6*3.16/4=

$$\frac { 5 } { 6 } \cdot \frac { 3.16 } { 4 } =$$

Evaluate

$$\frac{79}{120}\approx 0.658333333$$

Solution Steps

Expand \frac{3.16}{4} by multiplying both numerator and the denominator by 100.

$$\frac{5}{6}\times \frac{316}{400}$$

Reduce the fraction \frac{316}{400} to lowest terms by extracting and canceling out 4.

$$\frac{5}{6}\times \frac{79}{100}$$

Multiply \frac{5}{6} times \frac{79}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 79}{6\times 100}$$

Do the multiplications in the fraction \frac{5\times 79}{6\times 100}.

$$\frac{395}{600}$$

Reduce the fraction \frac{395}{600} to lowest terms by extracting and canceling out 5.

$$\frac{79}{120}$$

Factor

$$\frac{79}{3 \cdot 5 \cdot 2 ^ {3}} = 0.6583333333333333$$