Solve 78%5^2div2=

$$78 \% { 5 }^{ 2 } \div 2=$$

Evaluate

$$\frac{39}{4}=9.75$$

Solution Steps

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

$$\frac{\frac{39}{50}\times 5^{2}}{2}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{\frac{39}{50}\times 25}{2}$$

Express \frac{39}{50}\times 25 as a single fraction.

$$\frac{\frac{39\times 25}{50}}{2}$$

Multiply 39 and 25 to get 975.

$$\frac{\frac{975}{50}}{2}$$

Reduce the fraction \frac{975}{50} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{39}{2}}{2}$$

Express \frac{\frac{39}{2}}{2} as a single fraction.

$$\frac{39}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{39}{4}$$

Factor

$$\frac{3 \cdot 13}{2 ^ {2}} = 9\frac{3}{4} = 9.75$$