Basic Math Examples

(\frac{106}{104} - 1) \cdot 100

$(\frac{106}{104} - 1) \cdot 100$

Step 1

Cancel the common factor of

106

$106$ and

104

$104$ .

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Step 1.1

Factor

2

$2$ out of

106

$106$ .

(\frac{2 (53)}{104} - 1) \cdot 100

$(\frac{2 (53)}{104} - 1) \cdot 100$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

2

$2$ out of

104

$104$ .

(\frac{2 \cdot 53}{2 \cdot 52} - 1) \cdot 100

$(\frac{2 \cdot 53}{2 \cdot 52} - 1) \cdot 100$

Step 1.2.2

Cancel the common factor.

(\frac{2 \cdot 53}{2 \cdot 52} - 1) \cdot 100

$(\frac{2 \cdot 53}{2 \cdot 52} - 1) \cdot 100$

Step 1.2.3

Rewrite the expression.

(\frac{53}{52} - 1) \cdot 100

$(\frac{53}{52} - 1) \cdot 100$

(\frac{53}{52} - 1) \cdot 100

$(\frac{53}{52} - 1) \cdot 100$

(\frac{53}{52} - 1) \cdot 100

$(\frac{53}{52} - 1) \cdot 100$

Step 2

To write

- 1

$- 1$ as a fraction with a common denominator, multiply by

\frac{52}{52}

$\frac{52}{52}$ .

(\frac{53}{52} - 1 \cdot \frac{52}{52}) \cdot 100

$(\frac{53}{52} - 1 \cdot \frac{52}{52}) \cdot 100$

Step 3

Combine

- 1

$- 1$ and

\frac{52}{52}

$\frac{52}{52}$ .

(\frac{53}{52} + \frac{- 1 \cdot 52}{52}) \cdot 100

$(\frac{53}{52} + \frac{- 1 \cdot 52}{52}) \cdot 100$

Step 4

Combine the numerators over the common denominator.

\frac{53 - 1 \cdot 52}{52} \cdot 100

$\frac{53 - 1 \cdot 52}{52} \cdot 100$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

- 1

$- 1$ by

52

$52$ .

\frac{53 - 52}{52} \cdot 100

$\frac{53 - 52}{52} \cdot 100$

Step 5.2

Subtract

52

$52$ from

53

$53$ .

\frac{1}{52} \cdot 100

$\frac{1}{52} \cdot 100$

\frac{1}{52} \cdot 100

$\frac{1}{52} \cdot 100$

Step 6

Cancel the common factor of

4

$4$ .

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Step 6.1

Factor

4

$4$ out of

52

$52$ .

\frac{1}{4 (13)} \cdot 100

$\frac{1}{4 (13)} \cdot 100$

Step 6.2

Factor

4

$4$ out of

100

$100$ .

\frac{1}{4 \cdot 13} \cdot (4 \cdot 25)

$\frac{1}{4 \cdot 13} \cdot (4 \cdot 25)$

Step 6.3

Cancel the common factor.

\frac{1}{4 \cdot 13} \cdot (4 \cdot 25)

$\frac{1}{4 \cdot 13} \cdot (4 \cdot 25)$

Step 6.4

Rewrite the expression.

\frac{1}{13} \cdot 25

$\frac{1}{13} \cdot 25$

\frac{1}{13} \cdot 25

$\frac{1}{13} \cdot 25$

Step 7

Combine

\frac{1}{13}

$\frac{1}{13}$ and

25

$25$ .

\frac{25}{13}

$\frac{25}{13}$

Step 8

The result can be shown in multiple forms.

Exact Form:

\frac{25}{13}

$\frac{25}{13}$

Decimal Form:

1.\overline{923076}

$1.\overline{923076}$

Mixed Number Form:

1 \frac{12}{13}

$1 \frac{12}{13}$