Solve (25div4)*30%+(250div5)-4^2

$$(25 \div 4) \times 30 \% +(250 \div 5)- { 4 }^{ 2 }$$

Evaluate

$$\frac{287}{8}=35.875$$

Solution Steps

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$\frac{25}{4}\times \frac{3}{10}+\frac{250}{5}-4^{2}$$

Multiply \frac{25}{4} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 3}{4\times 10}+\frac{250}{5}-4^{2}$$

Do the multiplications in the fraction \frac{25\times 3}{4\times 10}.

$$\frac{75}{40}+\frac{250}{5}-4^{2}$$

Reduce the fraction \frac{75}{40} to lowest terms by extracting and canceling out 5.

$$\frac{15}{8}+\frac{250}{5}-4^{2}$$

Divide 250 by 5 to get 50.

$$\frac{15}{8}+50-4^{2}$$

Convert 50 to fraction \frac{400}{8}.

$$\frac{15}{8}+\frac{400}{8}-4^{2}$$

Since \frac{15}{8} and \frac{400}{8} have the same denominator, add them by adding their numerators.

$$\frac{15+400}{8}-4^{2}$$

Add 15 and 400 to get 415.

$$\frac{415}{8}-4^{2}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{415}{8}-16$$

Convert 16 to fraction \frac{128}{8}.

$$\frac{415}{8}-\frac{128}{8}$$

Since \frac{415}{8} and \frac{128}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{415-128}{8}$$

Subtract 128 from 415 to get 287.

$$\frac{287}{8}$$

Factor

$$\frac{7 \cdot 41}{2 ^ {3}} = 35\frac{7}{8} = 35.875$$