Solve 90*78/100+30*90/100

$$90 \times \frac{ 78 }{ 100 } +30 \times \frac{ 90 }{ 100 }$$

Evaluate

$$\frac{486}{5}=97.2$$

Solution Steps

Reduce the fraction \frac{78}{100} to lowest terms by extracting and canceling out 2.

$$90\times \frac{39}{50}+30\times \frac{90}{100}$$

Express 90\times \frac{39}{50} as a single fraction.

$$\frac{90\times 39}{50}+30\times \frac{90}{100}$$

Multiply 90 and 39 to get 3510.

$$\frac{3510}{50}+30\times \frac{90}{100}$$

Reduce the fraction \frac{3510}{50} to lowest terms by extracting and canceling out 10.

$$\frac{351}{5}+30\times \frac{90}{100}$$

Reduce the fraction \frac{90}{100} to lowest terms by extracting and canceling out 10.

$$\frac{351}{5}+30\times \frac{9}{10}$$

Express 30\times \frac{9}{10} as a single fraction.

$$\frac{351}{5}+\frac{30\times 9}{10}$$

Multiply 30 and 9 to get 270.

$$\frac{351}{5}+\frac{270}{10}$$

Divide 270 by 10 to get 27.

$$\frac{351}{5}+27$$

Convert 27 to fraction \frac{135}{5}.

$$\frac{351}{5}+\frac{135}{5}$$

Since \frac{351}{5} and \frac{135}{5} have the same denominator, add them by adding their numerators.

$$\frac{351+135}{5}$$

Add 351 and 135 to get 486.

$$\frac{486}{5}$$

Factor

$$\frac{2 \cdot 3 ^ {5}}{5} = 97\frac{1}{5} = 97.2$$