Solve (47/15)^2/1-25+10

$$\frac { ( \frac { 47 } { 15 } ) ^ { 2 } } { 1 - 25 } + 10$$

Evaluate

$$\frac{51791}{5400}\approx 9.590925926$$

Solution Steps

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

$$\frac{\frac{2209}{225}}{1-25}+10$$

Subtract 25 from 1 to get -24.

$$\frac{\frac{2209}{225}}{-24}+10$$

Express \frac{\frac{2209}{225}}{-24} as a single fraction.

$$\frac{2209}{225\left(-24\right)}+10$$

Multiply 225 and -24 to get -5400.

$$\frac{2209}{-5400}+10$$

Fraction \frac{2209}{-5400} can be rewritten as -\frac{2209}{5400} by extracting the negative sign.

$$-\frac{2209}{5400}+10$$

Convert 10 to fraction \frac{54000}{5400}.

$$-\frac{2209}{5400}+\frac{54000}{5400}$$

Since -\frac{2209}{5400} and \frac{54000}{5400} have the same denominator, add them by adding their numerators.

$$\frac{-2209+54000}{5400}$$

Add -2209 and 54000 to get 51791.

$$\frac{51791}{5400}$$

Factor

$$\frac{67 \cdot 773}{2 ^ {3} \cdot 3 ^ {3} \cdot 5 ^ {2}} = 9\frac{3191}{5400} = 9.590925925925927$$