Solve 121/4div7/8

$$12 \frac { 1 } { 4 } \div \frac { 7 } { 8 }$$

Evaluate

$$14$$

Solution Steps

Divide \frac{12\times 4+1}{4} by \frac{7}{8} by multiplying \frac{12\times 4+1}{4} by the reciprocal of \frac{7}{8}.

$$\frac{\left(12\times 4+1\right)\times 8}{4\times 7}$$

Cancel out 4 in both numerator and denominator.

$$\frac{2\left(1+4\times 12\right)}{7}$$

Multiply 4 and 12 to get 48.

$$\frac{2\left(1+48\right)}{7}$$

Add 1 and 48 to get 49.

$$\frac{2\times 49}{7}$$

Multiply 2 and 49 to get 98.

$$\frac{98}{7}$$

Divide 98 by 7 to get 14.

$$14$$

Factor

$$2\times 7$$