Basic Math Examples

$40 \frac{1}{3} - 25$

Step 1

Convert $40 \frac{1}{3}$ to an improper fraction.

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Step 1.1

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

$40 + \frac{1}{3} - 25$

Step 1.2

Add $40$ and $\frac{1}{3}$ .

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Step 1.2.1

To write $40$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$40 \cdot \frac{3}{3} + \frac{1}{3} - 25$

Step 1.2.2

Combine $40$ and $\frac{3}{3}$ .

$\frac{40 \cdot 3}{3} + \frac{1}{3} - 25$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{40 \cdot 3 + 1}{3} - 25$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $40$ by $3$ .

$\frac{120 + 1}{3} - 25$

Step 1.2.4.2

Add $120$ and $1$ .

$\frac{121}{3} - 25$

Step 2

To write $- 25$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{121}{3} - 25 \cdot \frac{3}{3}$

Step 3

Combine $- 25$ and $\frac{3}{3}$ .

$\frac{121}{3} + \frac{- 25 \cdot 3}{3}$

Step 4

Combine the numerators over the common denominator.

$\frac{121 - 25 \cdot 3}{3}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 25$ by $3$ .

$\frac{121 - 75}{3}$

Step 5.2

Subtract $75$ from $121$ .

$\frac{46}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{46}{3}$

Decimal Form:

$15.\overline{3}$

Mixed Number Form:

$15 \frac{1}{3}$