Basic Math Examples

40 \frac{1}{3} - 25

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

Step 1

Convert

40 \frac{1}{3}

$40 \frac{1}{3}$ 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

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

Step 1.2

Add

40

$40$ and

\frac{1}{3}

$\frac{1}{3}$ .

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Step 1.2.1

To write

40

$40$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 1.2.2

Combine

40

$40$ and

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 1.2.3

Combine the numerators over the common denominator.

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

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

40

$40$ by

3

$3$ .

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

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

Step 1.2.4.2

Add

120

$120$ and

1

$1$ .

\frac{121}{3} - 25

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

\frac{121}{3} - 25

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

\frac{121}{3} - 25

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

\frac{121}{3} - 25

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

Step 2

To write

- 25

$- 25$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 3

Combine

- 25

$- 25$ and

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply

- 25

$- 25$ by

3

$3$ .

\frac{121 - 75}{3}

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

Step 5.2

Subtract

75

$75$ from

121

$121$ .

\frac{46}{3}

$\frac{46}{3}$

\frac{46}{3}

$\frac{46}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{46}{3}

$\frac{46}{3}$

Decimal Form:

15. ¯ 3

$15.\overline{3}$

Mixed Number Form:

15 \frac{1}{3}

$15 \frac{1}{3}$