Solve 3/4*1.2-3/4*0.2

$$\frac { 3 } { 4 } \times 1.2 - \frac { 3 } { 4 } \times 0.2$$

Evaluate

$$0.75$$

Solution Steps

Convert decimal number 1.2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}\times \frac{6}{5}-\frac{3}{4}\times 0.2$$

Multiply \frac{3}{4} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 6}{4\times 5}-\frac{3}{4}\times 0.2$$

Do the multiplications in the fraction \frac{3\times 6}{4\times 5}.

$$\frac{18}{20}-\frac{3}{4}\times 0.2$$

Reduce the fraction \frac{18}{20} to lowest terms by extracting and canceling out 2.

$$\frac{9}{10}-\frac{3}{4}\times 0.2$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{10}-\frac{3}{4}\times \frac{1}{5}$$

Multiply \frac{3}{4} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{10}-\frac{3\times 1}{4\times 5}$$

Do the multiplications in the fraction \frac{3\times 1}{4\times 5}.

$$\frac{9}{10}-\frac{3}{20}$$

Least common multiple of 10 and 20 is 20. Convert \frac{9}{10} and \frac{3}{20} to fractions with denominator 20.

$$\frac{18}{20}-\frac{3}{20}$$

Since \frac{18}{20} and \frac{3}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-3}{20}$$

Subtract 3 from 18 to get 15.

$$\frac{15}{20}$$

Reduce the fraction \frac{15}{20} to lowest terms by extracting and canceling out 5.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$