Solve 45+4.417.5+1.5*7.8/2.5

$$45+4.4 \frac{ 17.5+1.5 \times 7.8 }{ 2.5 }$$

Evaluate

$$96.392$$

Solution Steps

Multiply 1.5 and 7.8 to get 11.7.

$$45+4.4\times \frac{17.5+11.7}{2.5}$$

Add 17.5 and 11.7 to get 29.2.

$$45+4.4\times \frac{29.2}{2.5}$$

Expand \frac{29.2}{2.5} by multiplying both numerator and the denominator by 10.

$$45+4.4\times \frac{292}{25}$$

Convert decimal number 4.4 to fraction \frac{44}{10}. Reduce the fraction \frac{44}{10} to lowest terms by extracting and canceling out 2.

$$45+\frac{22}{5}\times \frac{292}{25}$$

Multiply \frac{22}{5} times \frac{292}{25} by multiplying numerator times numerator and denominator times denominator.

$$45+\frac{22\times 292}{5\times 25}$$

Do the multiplications in the fraction \frac{22\times 292}{5\times 25}.

$$45+\frac{6424}{125}$$

Convert 45 to fraction \frac{5625}{125}.

$$\frac{5625}{125}+\frac{6424}{125}$$

Since \frac{5625}{125} and \frac{6424}{125} have the same denominator, add them by adding their numerators.

$$\frac{5625+6424}{125}$$

Add 5625 and 6424 to get 12049.

$$\frac{12049}{125}$$

Factor

$$\frac{12049}{5 ^ {3}} = 96\frac{49}{125} = 96.392$$