Solve 3div5-0.75^2

$$3 \div 5- { 0.75 }^{ 2 }$$

Evaluate

$$0.0375$$

Solution Steps

Calculate 0.75 to the power of 2 and get 0.5625.

$$\frac{3}{5}-0.5625$$

Convert decimal number 0.5625 to fraction \frac{5625}{10000}. Reduce the fraction \frac{5625}{10000} to lowest terms by extracting and canceling out 625.

$$\frac{3}{5}-\frac{9}{16}$$

Least common multiple of 5 and 16 is 80. Convert \frac{3}{5} and \frac{9}{16} to fractions with denominator 80.

$$\frac{48}{80}-\frac{45}{80}$$

Since \frac{48}{80} and \frac{45}{80} have the same denominator, subtract them by subtracting their numerators.

$$\frac{48-45}{80}$$

Subtract 45 from 48 to get 3.

$$\frac{3}{80}$$

Factor

$$\frac{3}{5 \cdot 2 ^ {4}} = 0.0375$$