Basic Math Examples

$11 y + \frac{18}{13} - 10 y = \frac{14}{39}$

Step 1

Subtract $10 y$ from $11 y$ .

$y + \frac{18}{13} = \frac{14}{39}$

Step 2

Move all terms not containing $y$ to the right side of the equation.

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Step 2.1

Subtract $\frac{18}{13}$ from both sides of the equation.

$y = \frac{14}{39} - \frac{18}{13}$

Step 2.2

To write $- \frac{18}{13}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = \frac{14}{39} - \frac{18}{13} \cdot \frac{3}{3}$

Step 2.3

Write each expression with a common denominator of $39$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.3.1

Multiply $\frac{18}{13}$ by $\frac{3}{3}$ .

$y = \frac{14}{39} - \frac{18 \cdot 3}{13 \cdot 3}$

Step 2.3.2

Multiply $13$ by $3$ .

$y = \frac{14}{39} - \frac{18 \cdot 3}{39}$

Step 2.4

Combine the numerators over the common denominator.

$y = \frac{14 - 18 \cdot 3}{39}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $- 18$ by $3$ .

$y = \frac{14 - 54}{39}$

Step 2.5.2

Subtract $54$ from $14$ .

$y = \frac{- 40}{39}$

Step 2.6

Move the negative in front of the fraction.

$y = - \frac{40}{39}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{40}{39}$

Decimal Form:

$y = - 1.\overline{025641}$

Mixed Number Form:

$y = - 1 \frac{1}{39}$