Basic Math Examples

$6.4 - y = 6 \frac{2}{5}$

Step 1

Simplify the right side.

Tap for more steps...

Step 1.1

Convert $6 \frac{2}{5}$ to an improper fraction.

Tap for more steps...

Step 1.1.1

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

$6.4 - y = 6 + \frac{2}{5}$

Step 1.1.2

Add $6$ and $\frac{2}{5}$ .

Tap for more steps...

Step 1.1.2.1

To write $6$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$6.4 - y = 6 \cdot \frac{5}{5} + \frac{2}{5}$

Step 1.1.2.2

Combine $6$ and $\frac{5}{5}$ .

$6.4 - y = \frac{6 \cdot 5}{5} + \frac{2}{5}$

Step 1.1.2.3

Combine the numerators over the common denominator.

$6.4 - y = \frac{6 \cdot 5 + 2}{5}$

Step 1.1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.1.2.4.1

Multiply $6$ by $5$ .

$6.4 - y = \frac{30 + 2}{5}$

Step 1.1.2.4.2

Add $30$ and $2$ .

$6.4 - y = \frac{32}{5}$

Step 2

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

Tap for more steps...

Step 2.1

Subtract $6.4$ from both sides of the equation.

$- y = \frac{32}{5} - 6.4$

Step 2.2

To write $- 6.4$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- y = \frac{32}{5} - 6.4 \cdot \frac{5}{5}$

Step 2.3

Combine $- 6.4$ and $\frac{5}{5}$ .

$- y = \frac{32}{5} + \frac{- 6.4 \cdot 5}{5}$

Step 2.4

Combine the numerators over the common denominator.

$- y = \frac{32 - 6.4 \cdot 5}{5}$

Step 2.5

Simplify the numerator.

Tap for more steps...

Step 2.5.1

Multiply $- 6.4$ by $5$ .

$- y = \frac{32 - 32}{5}$

Step 2.5.2

Subtract $32$ from $32$ .

$- y = \frac{0}{5}$

Step 2.6

Divide $0$ by $5$ .

$- y = 0$

Step 3

Divide each term in $- y = 0$ by $- 1$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $- y = 0$ by $- 1$ .

$\frac{- y}{- 1} = \frac{0}{- 1}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{0}{- 1}$

Step 3.2.2

Divide $y$ by $1$ .

$y = \frac{0}{- 1}$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Divide $0$ by $- 1$ .

$y = 0$