Basic Math Examples

$4.875 - 2 \frac{1}{16}$

Step 1

Convert

$2 \frac{1}{16}$ to an improper fraction.

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Step 1.1

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

$4.875 - (2 + \frac{1}{16})$

Step 1.2

Add

$2$ and

$\frac{1}{16}$ .

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Step 1.2.1

To write

$2$ as a fraction with a common denominator, multiply by

$\frac{16}{16}$ .

$4.875 - (2 \cdot \frac{16}{16} + \frac{1}{16})$

Step 1.2.2

Combine

$2$ and

$\frac{16}{16}$ .

$4.875 - (\frac{2 \cdot 16}{16} + \frac{1}{16})$

Step 1.2.3

Combine the numerators over the common denominator.

$4.875 - \frac{2 \cdot 16 + 1}{16}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$2$ by

$16$ .

$4.875 - \frac{32 + 1}{16}$

Step 1.2.4.2

Add

$32$ and

$1$ .

$4.875 - \frac{33}{16}$

Step 2

To write

$4.875$ as a fraction with a common denominator, multiply by

$\frac{16}{16}$ .

$4.875 \cdot \frac{16}{16} - \frac{33}{16}$

Step 3

Combine

$4.875$ and

$\frac{16}{16}$ .

$\frac{4.875 \cdot 16}{16} - \frac{33}{16}$

Step 4

Combine the numerators over the common denominator.

$\frac{4.875 \cdot 16 - 33}{16}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$4.875$ by

$16$ .

$\frac{78 - 33}{16}$

Step 5.2

Subtract

$33$ from

$78$ .

$\frac{45}{16}$

Step 6

Cancel the common factor of

$45$ and

$16$ .

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Step 6.1

Rewrite

$45$ as

$1 (45)$ .

$\frac{1 (45)}{16}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Rewrite

$16$ as

$1 (16)$ .

$\frac{1 \cdot 45}{1 \cdot 16}$

Step 6.2.2

Cancel the common factor.

$\frac{1 \cdot 45}{1 \cdot 16}$

Step 6.2.3

Rewrite the expression.

$\frac{45}{16}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{45}{16}$

Decimal Form:

$2.8125$

Mixed Number Form:

$2 \frac{13}{16}$