Solve 73/4+63/5

$$7 \frac { 3 } { 4 } + 6 \frac { 3 } { 5 }$$

Evaluate

$$\frac{287}{20}=14.35$$

Solution Steps

Multiply 7 and 4 to get 28.

$$\frac{28+3}{4}+\frac{6\times 5+3}{5}$$

Add 28 and 3 to get 31.

$$\frac{31}{4}+\frac{6\times 5+3}{5}$$

Multiply 6 and 5 to get 30.

$$\frac{31}{4}+\frac{30+3}{5}$$

Add 30 and 3 to get 33.

$$\frac{31}{4}+\frac{33}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{31}{4} and \frac{33}{5} to fractions with denominator 20.

$$\frac{155}{20}+\frac{132}{20}$$

Since \frac{155}{20} and \frac{132}{20} have the same denominator, add them by adding their numerators.

$$\frac{155+132}{20}$$

Add 155 and 132 to get 287.

$$\frac{287}{20}$$

Factor

$$\frac{7 \cdot 41}{2 ^ {2} \cdot 5} = 14\frac{7}{20} = 14.35$$