Solve 52/5:53/5

$$5 \frac { 2 } { 5 } : 5 \frac { 3 } { 5 }$$

Evaluate

$$\frac{27}{28}\approx 0.964285714$$

Solution Steps

Divide \frac{5\times 5+2}{5} by \frac{5\times 5+3}{5} by multiplying \frac{5\times 5+2}{5} by the reciprocal of \frac{5\times 5+3}{5}.

$$\frac{\left(5\times 5+2\right)\times 5}{5\left(5\times 5+3\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2+5\times 5}{3+5\times 5}$$

Multiply 5 and 5 to get 25.

$$\frac{2+25}{3+5\times 5}$$

Add 2 and 25 to get 27.

$$\frac{27}{3+5\times 5}$$

Multiply 5 and 5 to get 25.

$$\frac{27}{3+25}$$

Add 3 and 25 to get 28.

$$\frac{27}{28}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {2} \cdot 7} = 0.9642857142857143$$