Solve 8/5/frac{2{25}-5/16}=171/5

$$\frac{ \frac{ 8 }{ 5 } }{ \frac{ 2 }{ 25 } - \frac{ 5 }{ 16 } } =17 \frac{ 1 }{ 5 }$$

Verify

Solution Steps

Multiply both sides of the equation by 5.

$$-\frac{2000}{93}\times \frac{8}{5}=17\times 5+1$$

Multiply -\frac{2000}{93} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2000\times 8}{93\times 5}=17\times 5+1$$

Do the multiplications in the fraction \frac{-2000\times 8}{93\times 5}.

$$\frac{-16000}{465}=17\times 5+1$$

Reduce the fraction \frac{-16000}{465} to lowest terms by extracting and canceling out 5.

$$-\frac{3200}{93}=17\times 5+1$$

Multiply 17 and 5 to get 85.

$$-\frac{3200}{93}=85+1$$

Add 85 and 1 to get 86.

$$-\frac{3200}{93}=86$$

Convert 86 to fraction \frac{7998}{93}.

$$-\frac{3200}{93}=\frac{7998}{93}$$

Compare -\frac{3200}{93} and \frac{7998}{93}.

$$\text{false}$$