Basic Math Examples

$\frac{2 y}{25} - \frac{3 y}{10}$

Step 1

To write $\frac{2 y}{25}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{2 y}{25} \cdot \frac{2}{2} - \frac{3 y}{10}$

Step 2

To write $- \frac{3 y}{10}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{2 y}{25} \cdot \frac{2}{2} - \frac{3 y}{10} \cdot \frac{5}{5}$

Step 3

Write each expression with a common denominator of $50$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{2 y}{25}$ by $\frac{2}{2}$ .

$\frac{2 y \cdot 2}{25 \cdot 2} - \frac{3 y}{10} \cdot \frac{5}{5}$

Step 3.2

Multiply $25$ by $2$ .

$\frac{2 y \cdot 2}{50} - \frac{3 y}{10} \cdot \frac{5}{5}$

Step 3.3

Multiply $\frac{3 y}{10}$ by $\frac{5}{5}$ .

$\frac{2 y \cdot 2}{50} - \frac{3 y \cdot 5}{10 \cdot 5}$

Step 3.4

Multiply $10$ by $5$ .

$\frac{2 y \cdot 2}{50} - \frac{3 y \cdot 5}{50}$

Step 4

Combine the numerators over the common denominator.

$\frac{2 y \cdot 2 - 3 y \cdot 5}{50}$

Step 5

Simplify the numerator.

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Step 5.1

Factor $y$ out of $2 y \cdot 2 - 3 y \cdot 5$ .

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Step 5.1.1

Factor $y$ out of $2 y \cdot 2$ .

$\frac{y (2 \cdot 2) - 3 y \cdot 5}{50}$

Step 5.1.2

Factor $y$ out of $- 3 y \cdot 5$ .

$\frac{y (2 \cdot 2) + y (- 3 \cdot 5)}{50}$

Step 5.1.3

Factor $y$ out of $y (2 \cdot 2) + y (- 3 \cdot 5)$ .

$\frac{y (2 \cdot 2 - 3 \cdot 5)}{50}$

Step 5.2

Multiply $2$ by $2$ .

$\frac{y (4 - 3 \cdot 5)}{50}$

Step 5.3

Multiply $- 3$ by $5$ .

$\frac{y (4 - 15)}{50}$

Step 5.4

Subtract $15$ from $4$ .

$\frac{y \cdot - 11}{50}$

Step 6

Simplify the expression.

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Step 6.1

Move $- 11$ to the left of $y$ .

$\frac{- 11 \cdot y}{50}$

Step 6.2

Move the negative in front of the fraction.

$- \frac{11 y}{50}$