Basic Math Examples

$14 \frac{1}{6} - 10 \frac{11}{24}$

Step 1

Convert $14 \frac{1}{6}$ to an improper fraction.

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Step 1.1

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

$14 + \frac{1}{6} - 10 \frac{11}{24}$

Step 1.2

Add $14$ and $\frac{1}{6}$ .

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Step 1.2.1

To write $14$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$14 \cdot \frac{6}{6} + \frac{1}{6} - 10 \frac{11}{24}$

Step 1.2.2

Combine $14$ and $\frac{6}{6}$ .

$\frac{14 \cdot 6}{6} + \frac{1}{6} - 10 \frac{11}{24}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{14 \cdot 6 + 1}{6} - 10 \frac{11}{24}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $14$ by $6$ .

$\frac{84 + 1}{6} - 10 \frac{11}{24}$

Step 1.2.4.2

Add $84$ and $1$ .

$\frac{85}{6} - 10 \frac{11}{24}$

Step 2

Convert $10 \frac{11}{24}$ to an improper fraction.

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Step 2.1

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

$\frac{85}{6} - (10 + \frac{11}{24})$

Step 2.2

Add $10$ and $\frac{11}{24}$ .

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Step 2.2.1

To write $10$ as a fraction with a common denominator, multiply by $\frac{24}{24}$ .

$\frac{85}{6} - (10 \cdot \frac{24}{24} + \frac{11}{24})$

Step 2.2.2

Combine $10$ and $\frac{24}{24}$ .

$\frac{85}{6} - (\frac{10 \cdot 24}{24} + \frac{11}{24})$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{85}{6} - \frac{10 \cdot 24 + 11}{24}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply $10$ by $24$ .

$\frac{85}{6} - \frac{240 + 11}{24}$

Step 2.2.4.2

Add $240$ and $11$ .

$\frac{85}{6} - \frac{251}{24}$

Step 3

To write $\frac{85}{6}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{85}{6} \cdot \frac{4}{4} - \frac{251}{24}$

Step 4

Write each expression with a common denominator of $24$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

Multiply $\frac{85}{6}$ by $\frac{4}{4}$ .

$\frac{85 \cdot 4}{6 \cdot 4} - \frac{251}{24}$

Step 4.2

Multiply $6$ by $4$ .

$\frac{85 \cdot 4}{24} - \frac{251}{24}$

Step 5

Combine the numerators over the common denominator.

$\frac{85 \cdot 4 - 251}{24}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $85$ by $4$ .

$\frac{340 - 251}{24}$

Step 6.2

Subtract $251$ from $340$ .

$\frac{89}{24}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{89}{24}$

Decimal Form:

$3.708\overline{3}$

Mixed Number Form:

$3 \frac{17}{24}$