Solve 3/5-(0,1-3/4)*1=

$$\frac { 3 } { 5 } - ( 0,1 - \frac { 3 } { 4 } ) \cdot 1 =$$

Evaluate

$$1,25$$

Solution Steps

Convert decimal number 0,1 to fraction \frac{1}{10}.

$$\frac{3}{5}-\left(\frac{1}{10}-\frac{3}{4}\right)\times 1$$

Least common multiple of 10 and 4 is 20. Convert \frac{1}{10} and \frac{3}{4} to fractions with denominator 20.

$$\frac{3}{5}-\left(\frac{2}{20}-\frac{15}{20}\right)\times 1$$

Since \frac{2}{20} and \frac{15}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{5}-\frac{2-15}{20}\times 1$$

Subtract 15 from 2 to get -13.

$$\frac{3}{5}-\left(-\frac{13}{20}\right)$$

The opposite of -\frac{13}{20} is \frac{13}{20}.

$$\frac{3}{5}+\frac{13}{20}$$

Least common multiple of 5 and 20 is 20. Convert \frac{3}{5} and \frac{13}{20} to fractions with denominator 20.

$$\frac{12}{20}+\frac{13}{20}$$

Since \frac{12}{20} and \frac{13}{20} have the same denominator, add them by adding their numerators.

$$\frac{12+13}{20}$$

Add 12 and 13 to get 25.

$$\frac{25}{20}$$

Reduce the fraction \frac{25}{20} to lowest terms by extracting and canceling out 5.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$