Solve 61*22^2/13-61*9.8=

$$\frac { 61 \times 22 ^ { 2 } } { 13 } - 61 \times 9.8 =$$

Evaluate

$$\frac{108763}{65}\approx 1673.276923077$$

Solution Steps

Calculate 22 to the power of 2 and get 484.

$$\frac{61\times 484}{13}-61\times 9.8$$

Multiply 61 and 484 to get 29524.

$$\frac{29524}{13}-61\times 9.8$$

Multiply 61 and 9.8 to get 597.8.

$$\frac{29524}{13}-597.8$$

Convert decimal number 597.8 to fraction \frac{5978}{10}. Reduce the fraction \frac{5978}{10} to lowest terms by extracting and canceling out 2.

$$\frac{29524}{13}-\frac{2989}{5}$$

Least common multiple of 13 and 5 is 65. Convert \frac{29524}{13} and \frac{2989}{5} to fractions with denominator 65.

$$\frac{147620}{65}-\frac{38857}{65}$$

Since \frac{147620}{65} and \frac{38857}{65} have the same denominator, subtract them by subtracting their numerators.

$$\frac{147620-38857}{65}$$

Subtract 38857 from 147620 to get 108763.

$$\frac{108763}{65}$$

Factor

$$\frac{61 \cdot 1783}{5 \cdot 13} = 1673\frac{18}{65} = 1673.2769230769231$$