Basic Math Examples

$\frac{k + 3}{5} = 1 \frac{4}{5}$

Step 1

Simplify the right side.

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Step 1.1

Convert $1 \frac{4}{5}$ to an improper fraction.

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Step 1.1.1

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

$\frac{k + 3}{5} = 1 + \frac{4}{5}$

Step 1.1.2

Add $1$ and $\frac{4}{5}$ .

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Step 1.1.2.1

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

$\frac{k + 3}{5} = \frac{5}{5} + \frac{4}{5}$

Step 1.1.2.2

Combine the numerators over the common denominator.

$\frac{k + 3}{5} = \frac{5 + 4}{5}$

Step 1.1.2.3

Add $5$ and $4$ .

$\frac{k + 3}{5} = \frac{9}{5}$

Step 2

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$k + 3 = 9$

Step 3

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

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Step 3.1

Subtract $3$ from both sides of the equation.

$k = 9 - 3$

Step 3.2

Subtract $3$ from $9$ .

$k = 6$