Solve 9/5(-97.6)+32

$$\frac{ 9 }{ 5 } (-97.6)+32$$

Evaluate

$$-143.68$$

Solution Steps

Convert decimal number -97.6 to fraction -\frac{976}{10}. Reduce the fraction -\frac{976}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{5}\left(-\frac{488}{5}\right)+32$$

Multiply \frac{9}{5} times -\frac{488}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\left(-488\right)}{5\times 5}+32$$

Do the multiplications in the fraction \frac{9\left(-488\right)}{5\times 5}.

$$\frac{-4392}{25}+32$$

Fraction \frac{-4392}{25} can be rewritten as -\frac{4392}{25} by extracting the negative sign.

$$-\frac{4392}{25}+32$$

Convert 32 to fraction \frac{800}{25}.

$$-\frac{4392}{25}+\frac{800}{25}$$

Since -\frac{4392}{25} and \frac{800}{25} have the same denominator, add them by adding their numerators.

$$\frac{-4392+800}{25}$$

Add -4392 and 800 to get -3592.

$$-\frac{3592}{25}$$

Factor

$$-143.68$$