Basic Math Examples

4 \frac{23}{64} - 2 \frac{41}{64}

$4 \frac{23}{64} - 2 \frac{41}{64}$

Step 1

Convert

4 \frac{23}{64}

$4 \frac{23}{64}$ 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{23}{64} - 2 \frac{41}{64}

$4 + \frac{23}{64} - 2 \frac{41}{64}$

Step 1.2

Add

4

$4$ and

\frac{23}{64}

$\frac{23}{64}$ .

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Step 1.2.1

To write

4

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

\frac{64}{64}

$\frac{64}{64}$ .

4 \cdot \frac{64}{64} + \frac{23}{64} - 2 \frac{41}{64}

$4 \cdot \frac{64}{64} + \frac{23}{64} - 2 \frac{41}{64}$

Step 1.2.2

Combine

4

$4$ and

\frac{64}{64}

$\frac{64}{64}$ .

\frac{4 \cdot 64}{64} + \frac{23}{64} - 2 \frac{41}{64}

$\frac{4 \cdot 64}{64} + \frac{23}{64} - 2 \frac{41}{64}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{4 \cdot 64 + 23}{64} - 2 \frac{41}{64}

$\frac{4 \cdot 64 + 23}{64} - 2 \frac{41}{64}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

4

$4$ by

64

$64$ .

\frac{256 + 23}{64} - 2 \frac{41}{64}

$\frac{256 + 23}{64} - 2 \frac{41}{64}$

Step 1.2.4.2

Add

256

$256$ and

23

$23$ .

\frac{279}{64} - 2 \frac{41}{64}

$\frac{279}{64} - 2 \frac{41}{64}$

\frac{279}{64} - 2 \frac{41}{64}

$\frac{279}{64} - 2 \frac{41}{64}$

\frac{279}{64} - 2 \frac{41}{64}

$\frac{279}{64} - 2 \frac{41}{64}$

\frac{279}{64} - 2 \frac{41}{64}

$\frac{279}{64} - 2 \frac{41}{64}$

Step 2

Convert

2 \frac{41}{64}

$2 \frac{41}{64}$ to an improper fraction.

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Step 2.1

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

\frac{279}{64} - (2 + \frac{41}{64})

$\frac{279}{64} - (2 + \frac{41}{64})$

Step 2.2

Add

2

$2$ and

\frac{41}{64}

$\frac{41}{64}$ .

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Step 2.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{64}{64}

$\frac{64}{64}$ .

\frac{279}{64} - (2 \cdot \frac{64}{64} + \frac{41}{64})

$\frac{279}{64} - (2 \cdot \frac{64}{64} + \frac{41}{64})$

Step 2.2.2

Combine

2

$2$ and

\frac{64}{64}

$\frac{64}{64}$ .

\frac{279}{64} - (\frac{2 \cdot 64}{64} + \frac{41}{64})

$\frac{279}{64} - (\frac{2 \cdot 64}{64} + \frac{41}{64})$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{279}{64} - \frac{2 \cdot 64 + 41}{64}

$\frac{279}{64} - \frac{2 \cdot 64 + 41}{64}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

2

$2$ by

64

$64$ .

\frac{279}{64} - \frac{128 + 41}{64}

$\frac{279}{64} - \frac{128 + 41}{64}$

Step 2.2.4.2

Add

128

$128$ and

41

$41$ .

\frac{279}{64} - \frac{169}{64}

$\frac{279}{64} - \frac{169}{64}$

\frac{279}{64} - \frac{169}{64}

$\frac{279}{64} - \frac{169}{64}$

\frac{279}{64} - \frac{169}{64}

$\frac{279}{64} - \frac{169}{64}$

\frac{279}{64} - \frac{169}{64}

$\frac{279}{64} - \frac{169}{64}$

Step 3

Combine the numerators over the common denominator.

\frac{279 - 169}{64}

$\frac{279 - 169}{64}$

Step 4

Subtract

169

$169$ from

279

$279$ .

\frac{110}{64}

$\frac{110}{64}$

Step 5

Cancel the common factor of

110

$110$ and

64

$64$ .

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Step 5.1

Factor

2

$2$ out of

110

$110$ .

\frac{2 (55)}{64}

$\frac{2 (55)}{64}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

2

$2$ out of

64

$64$ .

\frac{2 \cdot 55}{2 \cdot 32}

$\frac{2 \cdot 55}{2 \cdot 32}$

Step 5.2.2

Cancel the common factor.

\frac{2 \cdot 55}{2 \cdot 32}

$\frac{2 \cdot 55}{2 \cdot 32}$

Step 5.2.3

Rewrite the expression.

\frac{55}{32}

$\frac{55}{32}$

\frac{55}{32}

$\frac{55}{32}$

\frac{55}{32}

$\frac{55}{32}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{55}{32}

$\frac{55}{32}$

Decimal Form:

1.71875

$1.71875$

Mixed Number Form:

1 \frac{23}{32}

$1 \frac{23}{32}$