Solve 4*5^2+6*(5div4^2)=

$$4 \cdot 5 ^ { 2 } + 6 \cdot ( 5 \div 4 ^ { 2 } ) =$$

Evaluate

$$\frac{815}{8}=101.875$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$4\times 25+6\times \frac{5}{4^{2}}$$

Multiply 4 and 25 to get 100.

$$100+6\times \frac{5}{4^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$100+6\times \frac{5}{16}$$

Express 6\times \frac{5}{16} as a single fraction.

$$100+\frac{6\times 5}{16}$$

Multiply 6 and 5 to get 30.

$$100+\frac{30}{16}$$

Reduce the fraction \frac{30}{16} to lowest terms by extracting and canceling out 2.

$$100+\frac{15}{8}$$

Convert 100 to fraction \frac{800}{8}.

$$\frac{800}{8}+\frac{15}{8}$$

Since \frac{800}{8} and \frac{15}{8} have the same denominator, add them by adding their numerators.

$$\frac{800+15}{8}$$

Add 800 and 15 to get 815.

$$\frac{815}{8}$$

Factor

$$\frac{5 \cdot 163}{2 ^ {3}} = 101\frac{7}{8} = 101.875$$