Solve {left(frac{4/7right)}^2-8}{4}

$$\frac{ { \left( \frac{ 4 }{ 7 } \right) }^{ 2 } -8 }{ 4 }$$

Evaluate

$$-\frac{94}{49}\approx -1.918367347$$

Solution Steps

Calculate \frac{4}{7} to the power of 2 and get \frac{16}{49}.

$$\frac{\frac{16}{49}-8}{4}$$

Convert 8 to fraction \frac{392}{49}.

$$\frac{\frac{16}{49}-\frac{392}{49}}{4}$$

Since \frac{16}{49} and \frac{392}{49} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{16-392}{49}}{4}$$

Subtract 392 from 16 to get -376.

$$\frac{-\frac{376}{49}}{4}$$

Express \frac{-\frac{376}{49}}{4} as a single fraction.

$$\frac{-376}{49\times 4}$$

Multiply 49 and 4 to get 196.

$$\frac{-376}{196}$$

Reduce the fraction \frac{-376}{196} to lowest terms by extracting and canceling out 4.

$$-\frac{94}{49}$$

Factor

$$-\frac{94}{49} = -1\frac{45}{49} = -1.9183673469387754$$