Solve (3)/(13)\div(-(4)/(65)) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{ 3 }{ 13 } \div (- \frac{ 4 }{ 65 } )$$

Evaluate

$-\frac{15}{4}=-3.75$

Solution Steps

Divide $\frac{3}{13}$ by $-\frac{4}{65}$ by multiplying $\frac{3}{13}$ by the reciprocal of $-\frac{4}{65}$.

$$\frac{3}{13}\left(-\frac{65}{4}\right)$$

Multiply $\frac{3}{13}$ times $-\frac{65}{4}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\left(-65\right)}{13\times 4}$$

Do the multiplications in the fraction $\frac{3\left(-65\right)}{13\times 4}$.

$$\frac{-195}{52}$$

Reduce the fraction $\frac{-195}{52}$ to lowest terms by extracting and canceling out $13$.

$$-\frac{15}{4}$$

Factor

$-\frac{15}{4} = -3\frac{3}{4} = -3.75$