Solve ((-7)/(9))\times((-9)/(7))-(8)/(9)\div(5)/(8)

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Question

$$( \frac{ -7 }{ 9 } ) \times ( \frac{ -9 }{ 7 } )- \frac{ 8 }{ 9 } \div \frac{ 5 }{ 8 }$$

Evaluate

$-\frac{19}{45}\approx -0.422222222$

Solution Steps

Fraction $\frac{-7}{9}$ can be rewritten as $-\frac{7}{9}$ by extracting the negative sign.

$$-\frac{7}{9}\times \frac{-9}{7}-\frac{\frac{8}{9}}{\frac{5}{8}}$$

Fraction $\frac{-9}{7}$ can be rewritten as $-\frac{9}{7}$ by extracting the negative sign.

$$-\frac{7}{9}\left(-\frac{9}{7}\right)-\frac{\frac{8}{9}}{\frac{5}{8}}$$

Multiply $-\frac{7}{9}$ times $-\frac{9}{7}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{-7\left(-9\right)}{9\times 7}-\frac{\frac{8}{9}}{\frac{5}{8}}$$

Do the multiplications in the fraction $\frac{-7\left(-9\right)}{9\times 7}$.

$$\frac{63}{63}-\frac{\frac{8}{9}}{\frac{5}{8}}$$

Divide $63$ by $63$ to get $1$.

$$1-\frac{\frac{8}{9}}{\frac{5}{8}}$$

Divide $\frac{8}{9}$ by $\frac{5}{8}$ by multiplying $\frac{8}{9}$ by the reciprocal of $\frac{5}{8}$.

$$1-\frac{8}{9}\times \frac{8}{5}$$

Multiply $\frac{8}{9}$ times $\frac{8}{5}$ by multiplying numerator times numerator and denominator times denominator.

$$1-\frac{8\times 8}{9\times 5}$$

Do the multiplications in the fraction $\frac{8\times 8}{9\times 5}$.

$$1-\frac{64}{45}$$

Convert $1$ to fraction $\frac{45}{45}$.

$$\frac{45}{45}-\frac{64}{45}$$

Since $\frac{45}{45}$ and $\frac{64}{45}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-64}{45}$$

Subtract $64$ from $45$ to get $-19$.

$$-\frac{19}{45}$$

Show Solution

Factor

$-\frac{19}{45} = -0.4222222222222222$