Solve 101/2/2frac{1{4}}

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

Evaluate

$$\frac{14}{3}\approx 4.666666667$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

Multiply 2 and 10 to get 20.

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

Add 1 and 20 to get 21.

$$\frac{2\times 21}{1+2\times 4}$$

Multiply 2 and 21 to get 42.

$$\frac{42}{1+2\times 4}$$

Multiply 2 and 4 to get 8.

$$\frac{42}{1+8}$$

Add 1 and 8 to get 9.

$$\frac{42}{9}$$

Reduce the fraction \frac{42}{9} to lowest terms by extracting and canceling out 3.

$$\frac{14}{3}$$

Factor

$$\frac{2 \cdot 7}{3} = 4\frac{2}{3} = 4.666666666666667$$