Solve 42/5n11/4

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

Evaluate

$$\frac{11n}{2}$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+2}{5}n\times \frac{1\times 4+1}{4}$$

Add 20 and 2 to get 22.

$$\frac{22}{5}n\times \frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{22}{5}n\times \frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{22}{5}n\times \frac{5}{4}$$

Multiply \frac{22}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 5}{5\times 4}n$$

Cancel out 5 in both numerator and denominator.

$$\frac{22}{4}n$$

Reduce the fraction \frac{22}{4} to lowest terms by extracting and canceling out 2.

$$\frac{11}{2}n$$

Expand

$$\frac{11n}{2}$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+2}{5}n\times \frac{1\times 4+1}{4}$$

Add 20 and 2 to get 22.

$$\frac{22}{5}n\times \frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{22}{5}n\times \frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{22}{5}n\times \frac{5}{4}$$

Multiply \frac{22}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 5}{5\times 4}n$$

Cancel out 5 in both numerator and denominator.

$$\frac{22}{4}n$$

Reduce the fraction \frac{22}{4} to lowest terms by extracting and canceling out 2.

$$\frac{11}{2}n$$