Solve 23/5+51/4

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

Evaluate

$$\frac{157}{20}=7.85$$

Solution Steps

Multiply 2 and 5 to get 10.

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

Add 10 and 3 to get 13.

$$\frac{13}{5}+\frac{5\times 4+1}{4}$$

Multiply 5 and 4 to get 20.

$$\frac{13}{5}+\frac{20+1}{4}$$

Add 20 and 1 to get 21.

$$\frac{13}{5}+\frac{21}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{13}{5} and \frac{21}{4} to fractions with denominator 20.

$$\frac{52}{20}+\frac{105}{20}$$

Since \frac{52}{20} and \frac{105}{20} have the same denominator, add them by adding their numerators.

$$\frac{52+105}{20}$$

Add 52 and 105 to get 157.

$$\frac{157}{20}$$

Factor

$$\frac{157}{2 ^ {2} \cdot 5} = 7\frac{17}{20} = 7.85$$