Basic Math Examples

$\frac{7}{y} + \frac{5}{8 y^{2}}$

Step 1

To write $\frac{7}{y}$ as a fraction with a common denominator, multiply by $\frac{8 y}{8 y}$ .

$\frac{7}{y} \cdot \frac{8 y}{8 y} + \frac{5}{8 y^{2}}$

Step 2

Write each expression with a common denominator of $8 y^{2}$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{7}{y}$ by $\frac{8 y}{8 y}$ .

$\frac{7 (8 y)}{y (8 y)} + \frac{5}{8 y^{2}}$

Step 2.2

Rewrite using the commutative property of multiplication.

$\frac{7 (8 y)}{8 y \cdot y} + \frac{5}{8 y^{2}}$

Step 2.3

Multiply $y$ by $y$ by adding the exponents.

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Step 2.3.1

Move $y$ .

$\frac{7 (8 y)}{8 (y \cdot y)} + \frac{5}{8 y^{2}}$

Step 2.3.2

Multiply $y$ by $y$ .

$\frac{7 (8 y)}{8 y^{2}} + \frac{5}{8 y^{2}}$

Step 3

Combine the numerators over the common denominator.

$\frac{7 (8 y) + 5}{8 y^{2}}$

Step 4

Multiply $7$ by $8$ .

$\frac{56 y + 5}{8 y^{2}}$