Solve 43/5-11/4-1.75+0.4

$$4 \frac { 3 } { 5 } - 1 \frac { 1 } { 4 } - 1.75 + 0.4$$

Evaluate

$$2$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+3}{5}-\frac{1\times 4+1}{4}-1.75+0.4$$

Add 20 and 3 to get 23.

$$\frac{23}{5}-\frac{1\times 4+1}{4}-1.75+0.4$$

Multiply 1 and 4 to get 4.

$$\frac{23}{5}-\frac{4+1}{4}-1.75+0.4$$

Add 4 and 1 to get 5.

$$\frac{23}{5}-\frac{5}{4}-1.75+0.4$$

Least common multiple of 5 and 4 is 20. Convert \frac{23}{5} and \frac{5}{4} to fractions with denominator 20.

$$\frac{92}{20}-\frac{25}{20}-1.75+0.4$$

Since \frac{92}{20} and \frac{25}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{92-25}{20}-1.75+0.4$$

Subtract 25 from 92 to get 67.

$$\frac{67}{20}-1.75+0.4$$

Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$\frac{67}{20}-\frac{7}{4}+0.4$$

Least common multiple of 20 and 4 is 20. Convert \frac{67}{20} and \frac{7}{4} to fractions with denominator 20.

$$\frac{67}{20}-\frac{35}{20}+0.4$$

Since \frac{67}{20} and \frac{35}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{67-35}{20}+0.4$$

Subtract 35 from 67 to get 32.

$$\frac{32}{20}+0.4$$

Reduce the fraction \frac{32}{20} to lowest terms by extracting and canceling out 4.

$$\frac{8}{5}+0.4$$

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{8}{5}+\frac{2}{5}$$

Since \frac{8}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{8+2}{5}$$

Add 8 and 2 to get 10.

$$\frac{10}{5}$$

Divide 10 by 5 to get 2.

$$2$$

Factor

$$2$$