Basic Math Examples

$3 \frac{1}{3} \cdot 1 \frac{1}{2} = m$

Step 1

Simplify the left side.

Tap for more steps...

Step 1.1

Simplify $3 \frac{1}{3} \cdot 1 \frac{1}{2}$ .

Tap for more steps...

Step 1.1.1

Convert $3 \frac{1}{3}$ 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.

$(3 + \frac{1}{3}) \cdot 1 \frac{1}{2} = m$

Step 1.1.1.2

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

Tap for more steps...

Step 1.1.1.2.1

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

$(3 \cdot \frac{3}{3} + \frac{1}{3}) \cdot 1 \frac{1}{2} = m$

Step 1.1.1.2.2

Combine $3$ and $\frac{3}{3}$ .

$(\frac{3 \cdot 3}{3} + \frac{1}{3}) \cdot 1 \frac{1}{2} = m$

Step 1.1.1.2.3

Combine the numerators over the common denominator.

$\frac{3 \cdot 3 + 1}{3} \cdot 1 \frac{1}{2} = m$

Step 1.1.1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.1.1.2.4.1

Multiply $3$ by $3$ .

$\frac{9 + 1}{3} \cdot 1 \frac{1}{2} = m$

Step 1.1.1.2.4.2

Add $9$ and $1$ .

$\frac{10}{3} \cdot 1 \frac{1}{2} = m$

Step 1.1.2

Convert $1 \frac{1}{2}$ 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.

$\frac{10}{3} \cdot (1 + \frac{1}{2}) = m$

Step 1.1.2.2

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

Tap for more steps...

Step 1.1.2.2.1

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

$\frac{10}{3} \cdot (\frac{2}{2} + \frac{1}{2}) = m$

Step 1.1.2.2.2

Combine the numerators over the common denominator.

$\frac{10}{3} \cdot \frac{2 + 1}{2} = m$

Step 1.1.2.2.3

Add $2$ and $1$ .

$\frac{10}{3} \cdot \frac{3}{2} = m$

Step 1.1.3

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.1.3.1

Factor $2$ out of $10$ .

$\frac{2 (5)}{3} \cdot \frac{3}{2} = m$

Step 1.1.3.2

Cancel the common factor.

$\frac{2 \cdot 5}{3} \cdot \frac{3}{2} = m$

Step 1.1.3.3

Rewrite the expression.

$\frac{5}{3} \cdot 3 = m$

Step 1.1.4

Cancel the common factor of $3$ .

Tap for more steps...

Step 1.1.4.1

Cancel the common factor.

$\frac{5}{3} \cdot 3 = m$

Step 1.1.4.2

Rewrite the expression.

$5 = m$

Step 2

Rewrite the equation as $m = 5$ .

$m = 5$