Solve (25^3)div4*30%

$$( { 25 }^{ 3 } ) \div 4 \times 30 \%$$

Evaluate

$$\frac{9375}{8}=1171.875$$

Solution Steps

Calculate 25 to the power of 3 and get 15625.

$$\frac{15625}{4}\times \frac{30}{100}$$

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

$$\frac{15625}{4}\times \frac{3}{10}$$

Multiply \frac{15625}{4} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15625\times 3}{4\times 10}$$

Do the multiplications in the fraction \frac{15625\times 3}{4\times 10}.

$$\frac{46875}{40}$$

Reduce the fraction \frac{46875}{40} to lowest terms by extracting and canceling out 5.

$$\frac{9375}{8}$$

Factor

$$\frac{3 \cdot 5 ^ {5}}{2 ^ {3}} = 1171\frac{7}{8} = 1171.875$$