Solve 5/5quad21/y+33/6=

$$\frac { 5 } { 5 } \quad 2 \frac { 1 } { y } + 3 \frac { 3 } { 6 } =$$

Evaluate

$$\frac{7}{2}+\frac{2}{y}$$

Short Solution Steps

Divide 5 by 5 to get 1.

$$1\times 2\times \frac{1}{y}+\frac{3\times 6+3}{6}$$

Multiply 1 and 2 to get 2.

$$2\times \frac{1}{y}+\frac{3\times 6+3}{6}$$

Express 2\times \frac{1}{y} as a single fraction.

$$\frac{2}{y}+\frac{3\times 6+3}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{2}{y}+\frac{18+3}{6}$$

Add 18 and 3 to get 21.

$$\frac{2}{y}+\frac{21}{6}$$

Reduce the fraction \frac{21}{6} to lowest terms by extracting and canceling out 3.

$$\frac{2}{y}+\frac{7}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of y and 2 is 2y. Multiply \frac{2}{y} times \frac{2}{2}. Multiply \frac{7}{2} times \frac{y}{y}.

$$\frac{2\times 2}{2y}+\frac{7y}{2y}$$

Since \frac{2\times 2}{2y} and \frac{7y}{2y} have the same denominator, add them by adding their numerators.

$$\frac{2\times 2+7y}{2y}$$

Do the multiplications in 2\times 2+7y.

$$\frac{4+7y}{2y}$$

Expand

$$\frac{7}{2}+\frac{2}{y}$$

Short Solution Steps

Divide 5 by 5 to get 1.

$$1\times 2\times \frac{1}{y}+\frac{3\times 6+3}{6}$$

Multiply 1 and 2 to get 2.

$$2\times \frac{1}{y}+\frac{3\times 6+3}{6}$$

Express 2\times \frac{1}{y} as a single fraction.

$$\frac{2}{y}+\frac{3\times 6+3}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{2}{y}+\frac{18+3}{6}$$

Add 18 and 3 to get 21.

$$\frac{2}{y}+\frac{21}{6}$$

Reduce the fraction \frac{21}{6} to lowest terms by extracting and canceling out 3.

$$\frac{2}{y}+\frac{7}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of y and 2 is 2y. Multiply \frac{2}{y} times \frac{2}{2}. Multiply \frac{7}{2} times \frac{y}{y}.

$$\frac{2\times 2}{2y}+\frac{7y}{2y}$$

Since \frac{2\times 2}{2y} and \frac{7y}{2y} have the same denominator, add them by adding their numerators.

$$\frac{2\times 2+7y}{2y}$$

Do the multiplications in 2\times 2+7y.

$$\frac{4+7y}{2y}$$