Solve 47*47/15*15div1.25

$$\frac { 47 \times 47 } { 15 \times 15 } \div 1.25$$

Evaluate

$$\frac{8836}{1125}\approx 7.854222222$$

Solution Steps

Express \frac{\frac{47\times 47}{15\times 15}}{1.25} as a single fraction.

$$\frac{47\times 47}{15\times 15\times 1.25}$$

Multiply 47 and 47 to get 2209.

$$\frac{2209}{15\times 15\times 1.25}$$

Multiply 15 and 15 to get 225.

$$\frac{2209}{225\times 1.25}$$

Multiply 225 and 1.25 to get 281.25.

$$\frac{2209}{281.25}$$

Expand \frac{2209}{281.25} by multiplying both numerator and the denominator by 100.

$$\frac{220900}{28125}$$

Reduce the fraction \frac{220900}{28125} to lowest terms by extracting and canceling out 25.

$$\frac{8836}{1125}$$

Factor

$$\frac{2 ^ {2} \cdot 47 ^ {2}}{3 ^ {2} \cdot 5 ^ {3}} = 7\frac{961}{1125} = 7.854222222222222$$