Solve (61-39-469)*13/82-7

$$( 61 - 39 - 469 ) \cdot 13 / 82 - 7$$

Evaluate

$$-\frac{6385}{82}\approx -77.865853659$$

Solution Steps

Subtract 39 from 61 to get 22.

$$\left(22-469\right)\times \frac{13}{82}-7$$

Subtract 469 from 22 to get -447.

$$-447\times \frac{13}{82}-7$$

Express -447\times \frac{13}{82} as a single fraction.

$$\frac{-447\times 13}{82}-7$$

Multiply -447 and 13 to get -5811.

$$\frac{-5811}{82}-7$$

Fraction \frac{-5811}{82} can be rewritten as -\frac{5811}{82} by extracting the negative sign.

$$-\frac{5811}{82}-7$$

Convert 7 to fraction \frac{574}{82}.

$$-\frac{5811}{82}-\frac{574}{82}$$

Since -\frac{5811}{82} and \frac{574}{82} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-5811-574}{82}$$

Subtract 574 from -5811 to get -6385.

$$-\frac{6385}{82}$$

Factor

$$-\frac{6385}{82} = -77\frac{71}{82} = -77.86585365853658$$