Solve -32/10*10.2+40

$$- \frac { 32 } { 10 } \times 10.2 + 40$$

Evaluate

$$7.36$$

Solution Steps

Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{16}{5}\times 10.2+40$$

Convert decimal number 10.2 to fraction \frac{102}{10}. Reduce the fraction \frac{102}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{16}{5}\times \frac{51}{5}+40$$

Multiply -\frac{16}{5} times \frac{51}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-16\times 51}{5\times 5}+40$$

Do the multiplications in the fraction \frac{-16\times 51}{5\times 5}.

$$\frac{-816}{25}+40$$

Fraction \frac{-816}{25} can be rewritten as -\frac{816}{25} by extracting the negative sign.

$$-\frac{816}{25}+40$$

Convert 40 to fraction \frac{1000}{25}.

$$-\frac{816}{25}+\frac{1000}{25}$$

Since -\frac{816}{25} and \frac{1000}{25} have the same denominator, add them by adding their numerators.

$$\frac{-816+1000}{25}$$

Add -816 and 1000 to get 184.

$$\frac{184}{25}$$

Factor

$$\frac{23 \cdot 2 ^ {3}}{5 ^ {2}} = 7\frac{9}{25} = 7.36$$