Basic Math Examples

$7 \frac{4}{24}$

Step 1

Convert

$7 \frac{4}{24}$ to an improper fraction.

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Step 1.1

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

$7 + \frac{4}{24}$

Step 1.2

Add

$7$ and

$\frac{4}{24}$ .

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Step 1.2.1

To write

$7$ as a fraction with a common denominator, multiply by

$\frac{24}{24}$ .

$7 \cdot \frac{24}{24} + \frac{4}{24}$

Step 1.2.2

Combine

$7$ and

$\frac{24}{24}$ .

$\frac{7 \cdot 24}{24} + \frac{4}{24}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{7 \cdot 24 + 4}{24}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$7$ by

$24$ .

$\frac{168 + 4}{24}$

Step 1.2.4.2

Add

$168$ and

$4$ .

$\frac{172}{24}$

Step 2

Cancel the common factor of

$172$ and

$24$ .

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Step 2.1

Factor

$4$ out of

$172$ .

$\frac{4 (43)}{24}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

$4$ out of

$24$ .

$\frac{4 \cdot 43}{4 \cdot 6}$

Step 2.2.2

Cancel the common factor.

$\frac{4 \cdot 43}{4 \cdot 6}$

Step 2.2.3

Rewrite the expression.

$\frac{43}{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{43}{6}$

Decimal Form:

$7.1\overline{6}$

Mixed Number Form:

$7 \frac{1}{6}$