Solve 96.6*2.5/97.5+96.6

$$\frac{ 96.6 \times 2.5 }{ 97.5 } +96.6$$

Evaluate

$$\frac{1288}{13}\approx 99.076923077$$

Solution Steps

Multiply 96.6 and 2.5 to get 241.5.

$$\frac{241.5}{97.5}+96.6$$

Expand \frac{241.5}{97.5} by multiplying both numerator and the denominator by 10.

$$\frac{2415}{975}+96.6$$

Reduce the fraction \frac{2415}{975} to lowest terms by extracting and canceling out 15.

$$\frac{161}{65}+96.6$$

Convert decimal number 96.6 to fraction \frac{966}{10}. Reduce the fraction \frac{966}{10} to lowest terms by extracting and canceling out 2.

$$\frac{161}{65}+\frac{483}{5}$$

Least common multiple of 65 and 5 is 65. Convert \frac{161}{65} and \frac{483}{5} to fractions with denominator 65.

$$\frac{161}{65}+\frac{6279}{65}$$

Since \frac{161}{65} and \frac{6279}{65} have the same denominator, add them by adding their numerators.

$$\frac{161+6279}{65}$$

Add 161 and 6279 to get 6440.

$$\frac{6440}{65}$$

Reduce the fraction \frac{6440}{65} to lowest terms by extracting and canceling out 5.

$$\frac{1288}{13}$$

Factor

$$\frac{7 \cdot 23 \cdot 2 ^ {3}}{13} = 99\frac{1}{13} = 99.07692307692308$$