Solve 101/2div13/4

$$10 \frac { 1 } { 2 } \div 1 \frac { 3 } { 4 }$$

Evaluate

$$6$$

Solution Steps

Divide \frac{10\times 2+1}{2} by \frac{1\times 4+3}{4} by multiplying \frac{10\times 2+1}{2} by the reciprocal of \frac{1\times 4+3}{4}.

$$\frac{\left(10\times 2+1\right)\times 4}{2\left(1\times 4+3\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{2\left(1+2\times 10\right)}{3+4}$$

Multiply 2 and 10 to get 20.

$$\frac{2\left(1+20\right)}{3+4}$$

Add 1 and 20 to get 21.

$$\frac{2\times 21}{3+4}$$

Multiply 2 and 21 to get 42.

$$\frac{42}{3+4}$$

Add 3 and 4 to get 7.

$$\frac{42}{7}$$

Divide 42 by 7 to get 6.

$$6$$

Factor

$$2\times 3$$