Basic Math Examples

$y - \frac{2}{5} = 1 \frac{3}{5}$

Step 1

Simplify the right side.

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Step 1.1

Convert $1 \frac{3}{5}$ to an improper fraction.

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Step 1.1.1

A mixed number is an addition of its whole and fractional parts.

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

Step 1.1.2

Add $1$ and $\frac{3}{5}$ .

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Step 1.1.2.1

Write $1$ as a fraction with a common denominator.

$y - \frac{2}{5} = \frac{5}{5} + \frac{3}{5}$

Step 1.1.2.2

Combine the numerators over the common denominator.

$y - \frac{2}{5} = \frac{5 + 3}{5}$

Step 1.1.2.3

Add $5$ and $3$ .

$y - \frac{2}{5} = \frac{8}{5}$

Step 2

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

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Step 2.1

Add $\frac{2}{5}$ to both sides of the equation.

$y = \frac{8}{5} + \frac{2}{5}$

Step 2.2

Combine the numerators over the common denominator.

$y = \frac{8 + 2}{5}$

Step 2.3

Add $8$ and $2$ .

$y = \frac{10}{5}$

Step 2.4

Divide $10$ by $5$ .

$y = 2$