Solve y/9*1/4+(-1/2)+10

$$\frac { y } { 9 } \cdot \frac { 1 } { 4 } + ( - \frac { 1 } { 2 } ) + 10$$

Evaluate

$$\frac{y}{36}+\frac{19}{2}$$

Short Solution Steps

Multiply \frac{y}{9} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{y}{9\times 4}-\frac{1}{2}+10$$

Convert 10 to fraction \frac{20}{2}.

$$\frac{y}{9\times 4}-\frac{1}{2}+\frac{20}{2}$$

Since -\frac{1}{2} and \frac{20}{2} have the same denominator, add them by adding their numerators.

$$\frac{y}{9\times 4}+\frac{-1+20}{2}$$

Add -1 and 20 to get 19.

$$\frac{y}{9\times 4}+\frac{19}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 9\times 4 and 2 is 36. Multiply \frac{19}{2} times \frac{18}{18}.

$$\frac{y}{36}+\frac{19\times 18}{36}$$

Since \frac{y}{36} and \frac{19\times 18}{36} have the same denominator, add them by adding their numerators.

$$\frac{y+19\times 18}{36}$$

Do the multiplications in y+19\times 18.

$$\frac{y+342}{36}$$

Factor

$$\frac{y+342}{36}$$

Solution Steps

Factor out \frac{1}{36}.

$$\frac{y+342}{36}$$

Consider y-18+360. Multiply and combine like terms.

$$y+342$$

Rewrite the complete factored expression.

$$\frac{y+342}{36}$$