Solve 50-(55/7)^2/50

$$\frac { 50 - ( \frac { 55 } { 7 } ) ^ { 2 } } { 50 }$$

Evaluate

$$-\frac{23}{98}\approx -0.234693878$$

Solution Steps

Calculate \frac{55}{7} to the power of 2 and get \frac{3025}{49}.

$$\frac{50-\frac{3025}{49}}{50}$$

Convert 50 to fraction \frac{2450}{49}.

$$\frac{\frac{2450}{49}-\frac{3025}{49}}{50}$$

Since \frac{2450}{49} and \frac{3025}{49} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{2450-3025}{49}}{50}$$

Subtract 3025 from 2450 to get -575.

$$\frac{-\frac{575}{49}}{50}$$

Express \frac{-\frac{575}{49}}{50} as a single fraction.

$$\frac{-575}{49\times 50}$$

Multiply 49 and 50 to get 2450.

$$\frac{-575}{2450}$$

Reduce the fraction \frac{-575}{2450} to lowest terms by extracting and canceling out 25.

$$-\frac{23}{98}$$

Factor

$$-\frac{23}{98} = -0.23469387755102042$$