Solve 3-13/4+4/5=

$$3 - 1 \frac { 3 } { 4 } + \frac { 4 } { 5 } =$$

Evaluate

$$\frac{41}{20}=2.05$$

Solution Steps

Multiply 1 and 4 to get 4.

$$3-\frac{4+3}{4}+\frac{4}{5}$$

Add 4 and 3 to get 7.

$$3-\frac{7}{4}+\frac{4}{5}$$

Convert 3 to fraction \frac{12}{4}.

$$\frac{12}{4}-\frac{7}{4}+\frac{4}{5}$$

Since \frac{12}{4} and \frac{7}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-7}{4}+\frac{4}{5}$$

Subtract 7 from 12 to get 5.

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

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

$$\frac{25}{20}+\frac{16}{20}$$

Since \frac{25}{20} and \frac{16}{20} have the same denominator, add them by adding their numerators.

$$\frac{25+16}{20}$$

Add 25 and 16 to get 41.

$$\frac{41}{20}$$

Factor

$$\frac{41}{2 ^ {2} \cdot 5} = 2\frac{1}{20} = 2.05$$