Basic Math Examples

4 \frac{2}{4} - 1 \frac{3}{4}

$4 \frac{2}{4} - 1 \frac{3}{4}$

Step 1

Convert

$4 \frac{2}{4}$ to an improper fraction.

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Step 1.1

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

$4 + \frac{2}{4} - 1 \frac{3}{4}$

Step 1.2

Add

$4$ and

$\frac{2}{4}$ .

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Step 1.2.1

To write

$4$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$4 \cdot \frac{4}{4} + \frac{2}{4} - 1 \frac{3}{4}$

Step 1.2.2

Combine

$4$ and

$\frac{4}{4}$ .

$\frac{4 \cdot 4}{4} + \frac{2}{4} - 1 \frac{3}{4}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{4 \cdot 4 + 2}{4} - 1 \frac{3}{4}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$4$ by

$4$ .

$\frac{16 + 2}{4} - 1 \frac{3}{4}$

Step 1.2.4.2

Add

$16$ and

$2$ .

$\frac{18}{4} - 1 \frac{3}{4}$

Step 2

Convert

$1 \frac{3}{4}$ to an improper fraction.

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Step 2.1

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

$\frac{18}{4} - (1 + \frac{3}{4})$

Step 2.2

Add

$1$ and

$\frac{3}{4}$ .

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Step 2.2.1

Write

$1$ as a fraction with a common denominator.

$\frac{18}{4} - (\frac{4}{4} + \frac{3}{4})$

Step 2.2.2

Combine the numerators over the common denominator.

$\frac{18}{4} - \frac{4 + 3}{4}$

Step 2.2.3

Add

$4$ and

$3$ .

$\frac{18}{4} - \frac{7}{4}$

Step 3

Combine the numerators over the common denominator.

$\frac{18 - 7}{4}$

Step 4

Subtract

$7$ from

$18$ .

$\frac{11}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{4}$

Decimal Form:

$2.75$

Mixed Number Form:

$2 \frac{3}{4}$