Solve 3.2-(3/4+(1.2-1/2))

$$3.2-( \frac{ 3 }{ 4 } +(1.2- \frac{ 1 }{ 2 } ))$$

Evaluate

$$1.75$$

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.

$$3.2-\left(\frac{3}{4}+\frac{6}{5}-\frac{1}{2}\right)$$

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{6}{5} to fractions with denominator 20.

$$3.2-\left(\frac{15}{20}+\frac{24}{20}-\frac{1}{2}\right)$$

Since \frac{15}{20} and \frac{24}{20} have the same denominator, add them by adding their numerators.

$$3.2-\left(\frac{15+24}{20}-\frac{1}{2}\right)$$

Add 15 and 24 to get 39.

$$3.2-\left(\frac{39}{20}-\frac{1}{2}\right)$$

Least common multiple of 20 and 2 is 20. Convert \frac{39}{20} and \frac{1}{2} to fractions with denominator 20.

$$3.2-\left(\frac{39}{20}-\frac{10}{20}\right)$$

Since \frac{39}{20} and \frac{10}{20} have the same denominator, subtract them by subtracting their numerators.

$$3.2-\frac{39-10}{20}$$

Subtract 10 from 39 to get 29.

$$3.2-\frac{29}{20}$$

Convert decimal number 3.2 to fraction \frac{32}{10}. Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$\frac{16}{5}-\frac{29}{20}$$

Least common multiple of 5 and 20 is 20. Convert \frac{16}{5} and \frac{29}{20} to fractions with denominator 20.

$$\frac{64}{20}-\frac{29}{20}$$

Since \frac{64}{20} and \frac{29}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{64-29}{20}$$

Subtract 29 from 64 to get 35.

$$\frac{35}{20}$$

Reduce the fraction \frac{35}{20} to lowest terms by extracting and canceling out 5.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$