Solve 13/2v*3+7/66*10

$$\frac { 13 } { 2 v } \times 3 + \frac { 7 } { 66 } \times 10$$

Evaluate

$$\frac{35}{33}+\frac{39}{2v}$$

Short Solution Steps

Express \frac{13}{2v}\times 3 as a single fraction.

$$\frac{13\times 3}{2v}+\frac{7}{66}\times 10$$

Express \frac{7}{66}\times 10 as a single fraction.

$$\frac{13\times 3}{2v}+\frac{7\times 10}{66}$$

Multiply 7 and 10 to get 70.

$$\frac{13\times 3}{2v}+\frac{70}{66}$$

Reduce the fraction \frac{70}{66} to lowest terms by extracting and canceling out 2.

$$\frac{13\times 3}{2v}+\frac{35}{33}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2v and 33 is 66v. Multiply \frac{13\times 3}{2v} times \frac{33}{33}. Multiply \frac{35}{33} times \frac{2v}{2v}.

$$\frac{33\times 13\times 3}{66v}+\frac{35\times 2v}{66v}$$

Since \frac{33\times 13\times 3}{66v} and \frac{35\times 2v}{66v} have the same denominator, add them by adding their numerators.

$$\frac{33\times 13\times 3+35\times 2v}{66v}$$

Do the multiplications in 33\times 13\times 3+35\times 2v.

$$\frac{1287+70v}{66v}$$

Factor

$$\frac{70v+1287}{66v}$$