Solve 23/5+33/4

$$2 \frac { 3 } { 5 } + 3 \frac { 3 } { 4 }$$

Evaluate

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

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+3}{5}+\frac{3\times 4+3}{4}$$

Add 10 and 3 to get 13.

$$\frac{13}{5}+\frac{3\times 4+3}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{13}{5}+\frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$\frac{13}{5}+\frac{15}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{13}{5} and \frac{15}{4} to fractions with denominator 20.

$$\frac{52}{20}+\frac{75}{20}$$

Since \frac{52}{20} and \frac{75}{20} have the same denominator, add them by adding their numerators.

$$\frac{52+75}{20}$$

Add 52 and 75 to get 127.

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

Factor

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