Solve 7-22/5+13/4

$$7 - 2 \frac { 2 } { 5 } + 1 \frac { 3 } { 4 }$$

Evaluate

$$\frac{127}{20}=6.35$$

Solution Steps

Multiply 2 and 5 to get 10.

$$7-\frac{10+2}{5}+\frac{1\times 4+3}{4}$$

Add 10 and 2 to get 12.

$$7-\frac{12}{5}+\frac{1\times 4+3}{4}$$

Convert 7 to fraction \frac{35}{5}.

$$\frac{35}{5}-\frac{12}{5}+\frac{1\times 4+3}{4}$$

Since \frac{35}{5} and \frac{12}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-12}{5}+\frac{1\times 4+3}{4}$$

Subtract 12 from 35 to get 23.

$$\frac{23}{5}+\frac{1\times 4+3}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{23}{5}+\frac{4+3}{4}$$

Add 4 and 3 to get 7.

$$\frac{23}{5}+\frac{7}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{23}{5} and \frac{7}{4} to fractions with denominator 20.

$$\frac{92}{20}+\frac{35}{20}$$

Since \frac{92}{20} and \frac{35}{20} have the same denominator, add them by adding their numerators.

$$\frac{92+35}{20}$$

Add 92 and 35 to get 127.

$$\frac{127}{20}$$

Factor

$$\frac{127}{2 ^ {2} \cdot 5} = 6\frac{7}{20} = 6.35$$