Basic Math Examples

$4 \frac{6}{7} - 4$

Step 1

Convert

$4 \frac{6}{7}$ to an improper fraction.

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Step 1.1

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

$4 + \frac{6}{7} - 4$

Step 1.2

Add

$4$ and

$\frac{6}{7}$ .

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Step 1.2.1

To write

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

$\frac{7}{7}$ .

$4 \cdot \frac{7}{7} + \frac{6}{7} - 4$

Step 1.2.2

Combine

$4$ and

$\frac{7}{7}$ .

$\frac{4 \cdot 7}{7} + \frac{6}{7} - 4$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{4 \cdot 7 + 6}{7} - 4$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$4$ by

$7$ .

$\frac{28 + 6}{7} - 4$

Step 1.2.4.2

Add

$28$ and

$6$ .

$\frac{34}{7} - 4$

Step 2

To write

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

$\frac{7}{7}$ .

$\frac{34}{7} - 4 \cdot \frac{7}{7}$

Step 3

Combine

$- 4$ and

$\frac{7}{7}$ .

$\frac{34}{7} + \frac{- 4 \cdot 7}{7}$

Step 4

Combine the numerators over the common denominator.

$\frac{34 - 4 \cdot 7}{7}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$- 4$ by

$7$ .

$\frac{34 - 28}{7}$

Step 5.2

Subtract

$28$ from

$34$ .

$\frac{6}{7}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{7}$

Decimal Form:

$0.\overline{857142}$