Solve 31/6*15/7*51/4

$$3 \frac { 1 } { 6 } \times 1 \frac { 5 } { 7 } \times 5 \frac { 1 } { 4 }$$

Evaluate

$$\frac{57}{2}=28.5$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{18+1}{6}\times \frac{1\times 7+5}{7}\times \frac{5\times 4+1}{4}$$

Add 18 and 1 to get 19.

$$\frac{19}{6}\times \frac{1\times 7+5}{7}\times \frac{5\times 4+1}{4}$$

Multiply 1 and 7 to get 7.

$$\frac{19}{6}\times \frac{7+5}{7}\times \frac{5\times 4+1}{4}$$

Add 7 and 5 to get 12.

$$\frac{19}{6}\times \frac{12}{7}\times \frac{5\times 4+1}{4}$$

Multiply \frac{19}{6} times \frac{12}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19\times 12}{6\times 7}\times \frac{5\times 4+1}{4}$$

Do the multiplications in the fraction \frac{19\times 12}{6\times 7}.

$$\frac{228}{42}\times \frac{5\times 4+1}{4}$$

Reduce the fraction \frac{228}{42} to lowest terms by extracting and canceling out 6.

$$\frac{38}{7}\times \frac{5\times 4+1}{4}$$

Multiply 5 and 4 to get 20.

$$\frac{38}{7}\times \frac{20+1}{4}$$

Add 20 and 1 to get 21.

$$\frac{38}{7}\times \frac{21}{4}$$

Multiply \frac{38}{7} times \frac{21}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{38\times 21}{7\times 4}$$

Do the multiplications in the fraction \frac{38\times 21}{7\times 4}.

$$\frac{798}{28}$$

Reduce the fraction \frac{798}{28} to lowest terms by extracting and canceling out 14.

$$\frac{57}{2}$$

Factor

$$\frac{3 \cdot 19}{2} = 28\frac{1}{2} = 28.5$$