Basic Math Examples

$15 \frac{1}{10} - 2 \frac{1}{10} = n$

Step 1

Simplify the left side.

Tap for more steps...

Step 1.1

Simplify $15 \frac{1}{10} - 2 \frac{1}{10}$ .

Tap for more steps...

Step 1.1.1

Convert $15 \frac{1}{10}$ to an improper fraction.

Tap for more steps...

Step 1.1.1.1

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

$15 + \frac{1}{10} - 2 \frac{1}{10} = n$

Step 1.1.1.2

Add $15$ and $\frac{1}{10}$ .

Tap for more steps...

Step 1.1.1.2.1

To write $15$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$15 \cdot \frac{10}{10} + \frac{1}{10} - 2 \frac{1}{10} = n$

Step 1.1.1.2.2

Combine $15$ and $\frac{10}{10}$ .

$\frac{15 \cdot 10}{10} + \frac{1}{10} - 2 \frac{1}{10} = n$

Step 1.1.1.2.3

Combine the numerators over the common denominator.

$\frac{15 \cdot 10 + 1}{10} - 2 \frac{1}{10} = n$

Step 1.1.1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.1.1.2.4.1

Multiply $15$ by $10$ .

$\frac{150 + 1}{10} - 2 \frac{1}{10} = n$

Step 1.1.1.2.4.2

Add $150$ and $1$ .

$\frac{151}{10} - 2 \frac{1}{10} = n$

Step 1.1.2

Convert $2 \frac{1}{10}$ to an improper fraction.

Tap for more steps...

Step 1.1.2.1

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

$\frac{151}{10} - (2 + \frac{1}{10}) = n$

Step 1.1.2.2

Add $2$ and $\frac{1}{10}$ .

Tap for more steps...

Step 1.1.2.2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$\frac{151}{10} - (2 \cdot \frac{10}{10} + \frac{1}{10}) = n$

Step 1.1.2.2.2

Combine $2$ and $\frac{10}{10}$ .

$\frac{151}{10} - (\frac{2 \cdot 10}{10} + \frac{1}{10}) = n$

Step 1.1.2.2.3

Combine the numerators over the common denominator.

$\frac{151}{10} - \frac{2 \cdot 10 + 1}{10} = n$

Step 1.1.2.2.4

Simplify the numerator.

Tap for more steps...

Step 1.1.2.2.4.1

Multiply $2$ by $10$ .

$\frac{151}{10} - \frac{20 + 1}{10} = n$

Step 1.1.2.2.4.2

Add $20$ and $1$ .

$\frac{151}{10} - \frac{21}{10} = n$

Step 1.1.3

Combine the numerators over the common denominator.

$\frac{151 - 21}{10} = n$

Step 1.1.4

Simplify the expression.

Tap for more steps...

Step 1.1.4.1

Subtract $21$ from $151$ .

$\frac{130}{10} = n$

Step 1.1.4.2

Divide $130$ by $10$ .

$13 = n$

Step 2

Rewrite the equation as $n = 13$ .

$n = 13$