Solve -4/5+2.35+1/4-0.35

$$- \frac{ 4 }{ 5 } +2.35+ \frac{ 1 }{ 4 } -0.35$$

Evaluate

$$1.45$$

Solution Steps

Convert decimal number 2.35 to fraction \frac{235}{100}. Reduce the fraction \frac{235}{100} to lowest terms by extracting and canceling out 5.

$$-\frac{4}{5}+\frac{47}{20}+\frac{1}{4}-0.35$$

Least common multiple of 5 and 20 is 20. Convert -\frac{4}{5} and \frac{47}{20} to fractions with denominator 20.

$$-\frac{16}{20}+\frac{47}{20}+\frac{1}{4}-0.35$$

Since -\frac{16}{20} and \frac{47}{20} have the same denominator, add them by adding their numerators.

$$\frac{-16+47}{20}+\frac{1}{4}-0.35$$

Add -16 and 47 to get 31.

$$\frac{31}{20}+\frac{1}{4}-0.35$$

Least common multiple of 20 and 4 is 20. Convert \frac{31}{20} and \frac{1}{4} to fractions with denominator 20.

$$\frac{31}{20}+\frac{5}{20}-0.35$$

Since \frac{31}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\frac{31+5}{20}-0.35$$

Add 31 and 5 to get 36.

$$\frac{36}{20}-0.35$$

Reduce the fraction \frac{36}{20} to lowest terms by extracting and canceling out 4.

$$\frac{9}{5}-0.35$$

Convert decimal number 0.35 to fraction \frac{35}{100}. Reduce the fraction \frac{35}{100} to lowest terms by extracting and canceling out 5.

$$\frac{9}{5}-\frac{7}{20}$$

Least common multiple of 5 and 20 is 20. Convert \frac{9}{5} and \frac{7}{20} to fractions with denominator 20.

$$\frac{36}{20}-\frac{7}{20}$$

Since \frac{36}{20} and \frac{7}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-7}{20}$$

Subtract 7 from 36 to get 29.

$$\frac{29}{20}$$

Factor

$$\frac{29}{5 \cdot 2 ^ {2}} = 1\frac{9}{20} = 1.45$$