Algebra Examples

$1 \frac{2}{10} \div 1 \frac{4}{10}$

Step 1

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

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Step 1.1

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

$(1 + \frac{2}{10}) \div 1 \frac{4}{10}$

Step 1.2

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

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Step 1.2.1

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

$(\frac{10}{10} + \frac{2}{10}) \div 1 \frac{4}{10}$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{10 + 2}{10} \div 1 \frac{4}{10}$

Step 1.2.3

Add $10$ and $2$ .

$\frac{12}{10} \div 1 \frac{4}{10}$

Step 2

Convert $1 \frac{4}{10}$ to an improper fraction.

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Step 2.1

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

$\frac{12}{10} \div (1 + \frac{4}{10})$

Step 2.2

Add $1$ and $\frac{4}{10}$ .

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Step 2.2.1

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

$\frac{12}{10} \div (\frac{10}{10} + \frac{4}{10})$

Step 2.2.2

Combine the numerators over the common denominator.

$\frac{12}{10} \div \frac{10 + 4}{10}$

Step 2.2.3

Add $10$ and $4$ .

$\frac{12}{10} \div \frac{14}{10}$

Step 3

To divide by a fraction, multiply by its reciprocal.

$\frac{12}{10} \cdot \frac{10}{14}$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $12$ .

$\frac{2 (6)}{10} \cdot \frac{10}{14}$

Step 4.2

Factor $2$ out of $14$ .

$\frac{2 \cdot 6}{10} \cdot \frac{10}{2 \cdot 7}$

Step 4.3

Cancel the common factor.

$\frac{2 \cdot 6}{10} \cdot \frac{10}{2 \cdot 7}$

Step 4.4

Rewrite the expression.

$\frac{6}{10} \cdot \frac{10}{7}$

Step 5

Cancel the common factor of $10$ .

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Step 5.1

Cancel the common factor.

$\frac{6}{10} \cdot \frac{10}{7}$

Step 5.2

Rewrite the expression.

$6 (\frac{1}{7})$

Step 6

Combine $6$ and $\frac{1}{7}$ .

$\frac{6}{7}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{7}$

Decimal Form:

$0.\overline{857142}$