Basic Math Examples

$51 \frac{24}{176}$

Step 1

Convert

$51 \frac{24}{176}$ to an improper fraction.

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Step 1.1

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

$51 + \frac{24}{176}$

Step 1.2

Add

$51$ and

$\frac{24}{176}$ .

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Step 1.2.1

To write

$51$ as a fraction with a common denominator, multiply by

$\frac{176}{176}$ .

$51 \cdot \frac{176}{176} + \frac{24}{176}$

Step 1.2.2

Combine

$51$ and

$\frac{176}{176}$ .

$\frac{51 \cdot 176}{176} + \frac{24}{176}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{51 \cdot 176 + 24}{176}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$51$ by

$176$ .

$\frac{8976 + 24}{176}$

Step 1.2.4.2

Add

$8976$ and

$24$ .

$\frac{9000}{176}$

Step 2

Cancel the common factor of

$9000$ and

$176$ .

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Step 2.1

Factor

$8$ out of

$9000$ .

$\frac{8 (1125)}{176}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

$8$ out of

$176$ .

$\frac{8 \cdot 1125}{8 \cdot 22}$

Step 2.2.2

Cancel the common factor.

$\frac{8 \cdot 1125}{8 \cdot 22}$

Step 2.2.3

Rewrite the expression.

$\frac{1125}{22}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1125}{22}$

Decimal Form:

$51.1\overline{36}$

Mixed Number Form:

$51 \frac{3}{22}$