Solve 3.6*(4.6+5.4div0.25)=

$$3.6 \times (4.6+5.4 \div 0.25)=$$

Evaluate

$$94.32$$

Solution Steps

Expand \frac{5.4}{0.25} by multiplying both numerator and the denominator by 100.

$$3.6\left(4.6+\frac{540}{25}\right)$$

Reduce the fraction \frac{540}{25} to lowest terms by extracting and canceling out 5.

$$3.6\left(4.6+\frac{108}{5}\right)$$

Convert decimal number 4.6 to fraction \frac{46}{10}. Reduce the fraction \frac{46}{10} to lowest terms by extracting and canceling out 2.

$$3.6\left(\frac{23}{5}+\frac{108}{5}\right)$$

Since \frac{23}{5} and \frac{108}{5} have the same denominator, add them by adding their numerators.

$$3.6\times \frac{23+108}{5}$$

Add 23 and 108 to get 131.

$$3.6\times \frac{131}{5}$$

Convert decimal number 3.6 to fraction \frac{36}{10}. Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$\frac{18}{5}\times \frac{131}{5}$$

Multiply \frac{18}{5} times \frac{131}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{18\times 131}{5\times 5}$$

Do the multiplications in the fraction \frac{18\times 131}{5\times 5}.

$$\frac{2358}{25}$$

Factor

$$\frac{2 \cdot 131 \cdot 3 ^ {2}}{5 ^ {2}} = 94\frac{8}{25} = 94.32$$