Basic Math Examples

$25 \frac{1}{2} \div \frac{3}{4}$

Step 1

Convert $25 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

$(25 + \frac{1}{2}) \div \frac{3}{4}$

Step 1.2

Add $25$ and $\frac{1}{2}$ .

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Step 1.2.1

To write $25$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(25 \cdot \frac{2}{2} + \frac{1}{2}) \div \frac{3}{4}$

Step 1.2.2

Combine $25$ and $\frac{2}{2}$ .

$(\frac{25 \cdot 2}{2} + \frac{1}{2}) \div \frac{3}{4}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{25 \cdot 2 + 1}{2} \div \frac{3}{4}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $25$ by $2$ .

$\frac{50 + 1}{2} \div \frac{3}{4}$

Step 1.2.4.2

Add $50$ and $1$ .

$\frac{51}{2} \div \frac{3}{4}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{51}{2} \cdot \frac{4}{3}$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $51$ .

$\frac{3 (17)}{2} \cdot \frac{4}{3}$

Step 3.2

Cancel the common factor.

$\frac{3 \cdot 17}{2} \cdot \frac{4}{3}$

Step 3.3

Rewrite the expression.

$\frac{17}{2} \cdot 4$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $4$ .

$\frac{17}{2} \cdot (2 (2))$

Step 4.2

Cancel the common factor.

$\frac{17}{2} \cdot (2 \cdot 2)$

Step 4.3

Rewrite the expression.

$17 \cdot 2$

Step 5

Multiply $17$ by $2$ .

$34$