Solve (47/15)^2/1.25+10

$$\frac { ( \frac { 47 } { 15 } ) ^ { 2 } } { 1.25 } + 10$$

Evaluate

$$\frac{20086}{1125}\approx 17.854222222$$

Solution Steps

Calculate \frac{47}{15} to the power of 2 and get \frac{2209}{225}.

$$\frac{\frac{2209}{225}}{1.25}+10$$

Express \frac{\frac{2209}{225}}{1.25} as a single fraction.

$$\frac{2209}{225\times 1.25}+10$$

Multiply 225 and 1.25 to get 281.25.

$$\frac{2209}{281.25}+10$$

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

$$\frac{220900}{28125}+10$$

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

$$\frac{8836}{1125}+10$$

Convert 10 to fraction \frac{11250}{1125}.

$$\frac{8836}{1125}+\frac{11250}{1125}$$

Since \frac{8836}{1125} and \frac{11250}{1125} have the same denominator, add them by adding their numerators.

$$\frac{8836+11250}{1125}$$

Add 8836 and 11250 to get 20086.

$$\frac{20086}{1125}$$

Factor

$$\frac{2 \cdot 83 \cdot 11 ^ {2}}{3 ^ {2} \cdot 5 ^ {3}} = 17\frac{961}{1125} = 17.854222222222223$$