Solve 44/5:33/5=

$$4 \frac { 4 } { 5 } : 3 \frac { 3 } { 5 } =$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Divide \frac{4\times 5+4}{5} by \frac{3\times 5+3}{5} by multiplying \frac{4\times 5+4}{5} by the reciprocal of \frac{3\times 5+3}{5}.

$$\frac{\left(4\times 5+4\right)\times 5}{5\left(3\times 5+3\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{4+4\times 5}{3+3\times 5}$$

Multiply 4 and 5 to get 20.

$$\frac{4+20}{3+3\times 5}$$

Add 4 and 20 to get 24.

$$\frac{24}{3+3\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{24}{3+15}$$

Add 3 and 15 to get 18.

$$\frac{24}{18}$$

Reduce the fraction \frac{24}{18} to lowest terms by extracting and canceling out 6.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$