Basic Math Examples

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

Step 1

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

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

Step 2

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

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Step 2.1

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

$6 + \frac{1}{1} - (4 + \frac{1}{4})$

Step 2.2

Add $4$ and $\frac{1}{4}$ .

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Step 2.2.1

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

$6 + \frac{1}{1} - (4 \cdot \frac{4}{4} + \frac{1}{4})$

Step 2.2.2

Combine $4$ and $\frac{4}{4}$ .

$6 + \frac{1}{1} - (\frac{4 \cdot 4}{4} + \frac{1}{4})$

Step 2.2.3

Combine the numerators over the common denominator.

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

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply $4$ by $4$ .

$6 + \frac{1}{1} - \frac{16 + 1}{4}$

Step 2.2.4.2

Add $16$ and $1$ .

$6 + \frac{1}{1} - \frac{17}{4}$

Step 3

Find the common denominator.

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Step 3.1

Write $6$ as a fraction with denominator $1$ .

$\frac{6}{1} + \frac{1}{1} - \frac{17}{4}$

Step 3.2

Multiply $\frac{6}{1}$ by $\frac{4}{4}$ .

$\frac{6}{1} \cdot \frac{4}{4} + \frac{1}{1} - \frac{17}{4}$

Step 3.3

Multiply $\frac{6}{1}$ by $\frac{4}{4}$ .

$\frac{6 \cdot 4}{4} + \frac{1}{1} - \frac{17}{4}$

Step 3.4

Multiply $\frac{1}{1}$ by $\frac{4}{4}$ .

$\frac{6 \cdot 4}{4} + \frac{1}{1} \cdot \frac{4}{4} - \frac{17}{4}$

Step 3.5

Multiply $\frac{1}{1}$ by $\frac{4}{4}$ .

$\frac{6 \cdot 4}{4} + \frac{4}{4} - \frac{17}{4}$

Step 4

Combine the numerators over the common denominator.

$\frac{6 \cdot 4 + 4 - 17}{4}$

Step 5

Simplify the expression.

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Step 5.1

Multiply $6$ by $4$ .

$\frac{24 + 4 - 17}{4}$

Step 5.2

Add $24$ and $4$ .

$\frac{28 - 17}{4}$

Step 5.3

Subtract $17$ from $28$ .

$\frac{11}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{4}$

Decimal Form:

$2.75$

Mixed Number Form:

$2 \frac{3}{4}$