Basic Math Examples

$2 \frac{7}{10} \div \frac{3}{4}$

Step 1

Convert $2 \frac{7}{10}$ to an improper fraction.

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Step 1.1

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

$(2 + \frac{7}{10}) \div \frac{3}{4}$

Step 1.2

Add $2$ and $\frac{7}{10}$ .

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Step 1.2.1

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

$(2 \cdot \frac{10}{10} + \frac{7}{10}) \div \frac{3}{4}$

Step 1.2.2

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

$(\frac{2 \cdot 10}{10} + \frac{7}{10}) \div \frac{3}{4}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{2 \cdot 10 + 7}{10} \div \frac{3}{4}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $2$ by $10$ .

$\frac{20 + 7}{10} \div \frac{3}{4}$

Step 1.2.4.2

Add $20$ and $7$ .

$\frac{27}{10} \div \frac{3}{4}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{27}{10} \cdot \frac{4}{3}$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $27$ .

$\frac{3 (9)}{10} \cdot \frac{4}{3}$

Step 3.2

Cancel the common factor.

$\frac{3 \cdot 9}{10} \cdot \frac{4}{3}$

Step 3.3

Rewrite the expression.

$\frac{9}{10} \cdot 4$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $10$ .

$\frac{9}{2 (5)} \cdot 4$

Step 4.2

Factor $2$ out of $4$ .

$\frac{9}{2 \cdot 5} \cdot (2 \cdot 2)$

Step 4.3

Cancel the common factor.

$\frac{9}{2 \cdot 5} \cdot (2 \cdot 2)$

Step 4.4

Rewrite the expression.

$\frac{9}{5} \cdot 2$

Step 5

Combine $\frac{9}{5}$ and $2$ .

$\frac{9 \cdot 2}{5}$

Step 6

Multiply $9$ by $2$ .

$\frac{18}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{18}{5}$

Decimal Form:

$3.6$

Mixed Number Form:

$3 \frac{3}{5}$