Solve (1)3/4*(1.5-2/3)+1.2*3/4

$$( 1 ) \frac { 3 } { 4 } \times ( 1.5 - \frac { 2 } { 3 } ) + 1.2 \times \frac { 3 } { 4 }$$

Evaluate

$$1.525$$

Solution Steps

Multiply 1 and \frac{3}{4} to get \frac{3}{4}.

$$\frac{3}{4}\left(1.5-\frac{2}{3}\right)+1.2\times \frac{3}{4}$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{3}{4}\left(\frac{3}{2}-\frac{2}{3}\right)+1.2\times \frac{3}{4}$$

Least common multiple of 2 and 3 is 6. Convert \frac{3}{2} and \frac{2}{3} to fractions with denominator 6.

$$\frac{3}{4}\left(\frac{9}{6}-\frac{4}{6}\right)+1.2\times \frac{3}{4}$$

Since \frac{9}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{4}\times \frac{9-4}{6}+1.2\times \frac{3}{4}$$

Subtract 4 from 9 to get 5.

$$\frac{3}{4}\times \frac{5}{6}+1.2\times \frac{3}{4}$$

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

$$\frac{3\times 5}{4\times 6}+1.2\times \frac{3}{4}$$

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

$$\frac{15}{24}+1.2\times \frac{3}{4}$$

Reduce the fraction \frac{15}{24} to lowest terms by extracting and canceling out 3.

$$\frac{5}{8}+1.2\times \frac{3}{4}$$

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.

$$\frac{5}{8}+\frac{6}{5}\times \frac{3}{4}$$

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

$$\frac{5}{8}+\frac{6\times 3}{5\times 4}$$

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

$$\frac{5}{8}+\frac{18}{20}$$

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

$$\frac{5}{8}+\frac{9}{10}$$

Least common multiple of 8 and 10 is 40. Convert \frac{5}{8} and \frac{9}{10} to fractions with denominator 40.

$$\frac{25}{40}+\frac{36}{40}$$

Since \frac{25}{40} and \frac{36}{40} have the same denominator, add them by adding their numerators.

$$\frac{25+36}{40}$$

Add 25 and 36 to get 61.

$$\frac{61}{40}$$

Factor

$$\frac{61}{5 \cdot 2 ^ {3}} = 1\frac{21}{40} = 1.525$$