Solve 51/4div21/2

$$5 \frac { 1 } { 4 } \div 2 \frac { 1 } { 2 }$$

Evaluate

$$\frac{21}{10}=2.1$$

Solution Steps

Divide \frac{5\times 4+1}{4} by \frac{2\times 2+1}{2} by multiplying \frac{5\times 4+1}{4} by the reciprocal of \frac{2\times 2+1}{2}.

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

Cancel out 2 in both numerator and denominator.

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

Multiply 4 and 5 to get 20.

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

Add 1 and 20 to get 21.

$$\frac{21}{2\left(1+2\times 2\right)}$$

Multiply 2 and 2 to get 4.

$$\frac{21}{2\left(1+4\right)}$$

Add 1 and 4 to get 5.

$$\frac{21}{2\times 5}$$

Multiply 2 and 5 to get 10.

$$\frac{21}{10}$$

Factor

$$\frac{3 \cdot 7}{2 \cdot 5} = 2\frac{1}{10} = 2.1$$