Solve 71/4div5/6

$$7 \frac { 1 } { 4 } \div \frac { 5 } { 6 }$$

Evaluate

$$\frac{87}{10}=8.7$$

Solution Steps

Divide \frac{7\times 4+1}{4} by \frac{5}{6} by multiplying \frac{7\times 4+1}{4} by the reciprocal of \frac{5}{6}.

$$\frac{\left(7\times 4+1\right)\times 6}{4\times 5}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\left(1+4\times 7\right)}{2\times 5}$$

Multiply 4 and 7 to get 28.

$$\frac{3\left(1+28\right)}{2\times 5}$$

Add 1 and 28 to get 29.

$$\frac{3\times 29}{2\times 5}$$

Multiply 3 and 29 to get 87.

$$\frac{87}{2\times 5}$$

Multiply 2 and 5 to get 10.

$$\frac{87}{10}$$

Factor

$$\frac{3 \cdot 29}{2 \cdot 5} = 8\frac{7}{10} = 8.7$$