Basic Math Examples

6 \frac{1}{4} - 5 \frac{3}{4}

$6 \frac{1}{4} - 5 \frac{3}{4}$

Step 1

Convert

$6 \frac{1}{4}$ to an improper fraction.

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Step 1.1

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

$6 + \frac{1}{4} - 5 \frac{3}{4}$

Step 1.2

Add

$6$ and

$\frac{1}{4}$ .

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Step 1.2.1

To write

$6$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$6 \cdot \frac{4}{4} + \frac{1}{4} - 5 \frac{3}{4}$

Step 1.2.2

Combine

$6$ and

$\frac{4}{4}$ .

$\frac{6 \cdot 4}{4} + \frac{1}{4} - 5 \frac{3}{4}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{6 \cdot 4 + 1}{4} - 5 \frac{3}{4}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$6$ by

$4$ .

$\frac{24 + 1}{4} - 5 \frac{3}{4}$

Step 1.2.4.2

Add

$24$ and

$1$ .

$\frac{25}{4} - 5 \frac{3}{4}$

Step 2

Convert

$5 \frac{3}{4}$ to an improper fraction.

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Step 2.1

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

$\frac{25}{4} - (5 + \frac{3}{4})$

Step 2.2

Add

$5$ and

$\frac{3}{4}$ .

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Step 2.2.1

To write

$5$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$\frac{25}{4} - (5 \cdot \frac{4}{4} + \frac{3}{4})$

Step 2.2.2

Combine

$5$ and

$\frac{4}{4}$ .

$\frac{25}{4} - (\frac{5 \cdot 4}{4} + \frac{3}{4})$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{25}{4} - \frac{5 \cdot 4 + 3}{4}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

$5$ by

$4$ .

$\frac{25}{4} - \frac{20 + 3}{4}$

Step 2.2.4.2

Add

$20$ and

$3$ .

$\frac{25}{4} - \frac{23}{4}$

Step 3

Combine the numerators over the common denominator.

$\frac{25 - 23}{4}$

Step 4

Subtract

$23$ from

$25$ .

$\frac{2}{4}$

Step 5

Cancel the common factor of

$2$ and

$4$ .

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Step 5.1

Factor

$2$ out of

$2$ .

$\frac{2 (1)}{4}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

$2$ out of

$4$ .

$\frac{2 \cdot 1}{2 \cdot 2}$

Step 5.2.2

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 2}$

Step 5.2.3

Rewrite the expression.

$\frac{1}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$