Solve 1.5*7.8div2+78.5

$$1.5 \times 7.8 \div 2+78.5$$

Evaluate

$$84.35$$

Solution Steps

Multiply 1.5 and 7.8 to get 11.7.

$$\frac{11.7}{2}+78.5$$

Expand \frac{11.7}{2} by multiplying both numerator and the denominator by 10.

$$\frac{117}{20}+78.5$$

Convert decimal number 78.5 to fraction \frac{785}{10}. Reduce the fraction \frac{785}{10} to lowest terms by extracting and canceling out 5.

$$\frac{117}{20}+\frac{157}{2}$$

Least common multiple of 20 and 2 is 20. Convert \frac{117}{20} and \frac{157}{2} to fractions with denominator 20.

$$\frac{117}{20}+\frac{1570}{20}$$

Since \frac{117}{20} and \frac{1570}{20} have the same denominator, add them by adding their numerators.

$$\frac{117+1570}{20}$$

Add 117 and 1570 to get 1687.

$$\frac{1687}{20}$$

Factor

$$\frac{7 \cdot 241}{5 \cdot 2 ^ {2}} = 84\frac{7}{20} = 84.35$$