Solve 241/2div13/4=

$$24 \frac { 1 } { 2 } \div 1 \frac { 3 } { 4 } =$$

Evaluate

$$14$$

Solution Steps

Divide \frac{24\times 2+1}{2} by \frac{1\times 4+3}{4} by multiplying \frac{24\times 2+1}{2} by the reciprocal of \frac{1\times 4+3}{4}.

$$\frac{\left(24\times 2+1\right)\times 4}{2\left(1\times 4+3\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{2\left(1+2\times 24\right)}{3+4}$$

Multiply 2 and 24 to get 48.

$$\frac{2\left(1+48\right)}{3+4}$$

Add 1 and 48 to get 49.

$$\frac{2\times 49}{3+4}$$

Multiply 2 and 49 to get 98.

$$\frac{98}{3+4}$$

Add 3 and 4 to get 7.

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

Divide 98 by 7 to get 14.

$$14$$

Factor

$$2\times 7$$