Basic Math Examples

67 \frac{1}{4} - 2 \frac{9}{10}

$67 \frac{1}{4} - 2 \frac{9}{10}$

Step 1

Convert

67 \frac{1}{4}

$67 \frac{1}{4}$ to an improper fraction.

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Step 1.1

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

67 + \frac{1}{4} - 2 \frac{9}{10}

$67 + \frac{1}{4} - 2 \frac{9}{10}$

Step 1.2

Add

67

$67$ and

\frac{1}{4}

$\frac{1}{4}$ .

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Step 1.2.1

To write

67

$67$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

67 \cdot \frac{4}{4} + \frac{1}{4} - 2 \frac{9}{10}

$67 \cdot \frac{4}{4} + \frac{1}{4} - 2 \frac{9}{10}$

Step 1.2.2

Combine

67

$67$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{67 \cdot 4}{4} + \frac{1}{4} - 2 \frac{9}{10}

$\frac{67 \cdot 4}{4} + \frac{1}{4} - 2 \frac{9}{10}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{67 \cdot 4 + 1}{4} - 2 \frac{9}{10}

$\frac{67 \cdot 4 + 1}{4} - 2 \frac{9}{10}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

67

$67$ by

4

$4$ .

\frac{268 + 1}{4} - 2 \frac{9}{10}

$\frac{268 + 1}{4} - 2 \frac{9}{10}$

Step 1.2.4.2

Add

268

$268$ and

1

$1$ .

\frac{269}{4} - 2 \frac{9}{10}

$\frac{269}{4} - 2 \frac{9}{10}$

\frac{269}{4} - 2 \frac{9}{10}

$\frac{269}{4} - 2 \frac{9}{10}$

\frac{269}{4} - 2 \frac{9}{10}

$\frac{269}{4} - 2 \frac{9}{10}$

\frac{269}{4} - 2 \frac{9}{10}

$\frac{269}{4} - 2 \frac{9}{10}$

Step 2

Convert

2 \frac{9}{10}

$2 \frac{9}{10}$ to an improper fraction.

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Step 2.1

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

\frac{269}{4} - (2 + \frac{9}{10})

$\frac{269}{4} - (2 + \frac{9}{10})$

Step 2.2

Add

2

$2$ and

\frac{9}{10}

$\frac{9}{10}$ .

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Step 2.2.1

To write

2

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

\frac{10}{10}

$\frac{10}{10}$ .

\frac{269}{4} - (2 \cdot \frac{10}{10} + \frac{9}{10})

$\frac{269}{4} - (2 \cdot \frac{10}{10} + \frac{9}{10})$

Step 2.2.2

Combine

2

$2$ and

\frac{10}{10}

$\frac{10}{10}$ .

\frac{269}{4} - (\frac{2 \cdot 10}{10} + \frac{9}{10})

$\frac{269}{4} - (\frac{2 \cdot 10}{10} + \frac{9}{10})$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{269}{4} - \frac{2 \cdot 10 + 9}{10}

$\frac{269}{4} - \frac{2 \cdot 10 + 9}{10}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

2

$2$ by

10

$10$ .

\frac{269}{4} - \frac{20 + 9}{10}

$\frac{269}{4} - \frac{20 + 9}{10}$

Step 2.2.4.2

Add

20

$20$ and

9

$9$ .

\frac{269}{4} - \frac{29}{10}

$\frac{269}{4} - \frac{29}{10}$

\frac{269}{4} - \frac{29}{10}

$\frac{269}{4} - \frac{29}{10}$

\frac{269}{4} - \frac{29}{10}

$\frac{269}{4} - \frac{29}{10}$

\frac{269}{4} - \frac{29}{10}

$\frac{269}{4} - \frac{29}{10}$

Step 3

To write

\frac{269}{4}

$\frac{269}{4}$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{269}{4} \cdot \frac{5}{5} - \frac{29}{10}

$\frac{269}{4} \cdot \frac{5}{5} - \frac{29}{10}$

Step 4

To write

- \frac{29}{10}

$- \frac{29}{10}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{269}{4} \cdot \frac{5}{5} - \frac{29}{10} \cdot \frac{2}{2}

$\frac{269}{4} \cdot \frac{5}{5} - \frac{29}{10} \cdot \frac{2}{2}$

Step 5

Write each expression with a common denominator of

20

$20$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 5.1

Multiply

$\frac{269}{4}$ by

$\frac{5}{5}$ .

$\frac{269 \cdot 5}{4 \cdot 5} - \frac{29}{10} \cdot \frac{2}{2}$

Step 5.2

Multiply

$4$ by

$5$ .

$\frac{269 \cdot 5}{20} - \frac{29}{10} \cdot \frac{2}{2}$

Step 5.3

Multiply

$\frac{29}{10}$ by

$\frac{2}{2}$ .

$\frac{269 \cdot 5}{20} - \frac{29 \cdot 2}{10 \cdot 2}$

Step 5.4

Multiply

$10$ by

$2$ .

$\frac{269 \cdot 5}{20} - \frac{29 \cdot 2}{20}$

Step 6

Combine the numerators over the common denominator.

$\frac{269 \cdot 5 - 29 \cdot 2}{20}$

Step 7

Simplify the numerator.

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Step 7.1

Multiply

$269$ by

$5$ .

$\frac{1345 - 29 \cdot 2}{20}$

Step 7.2

Multiply

$- 29$ by

$2$ .

$\frac{1345 - 58}{20}$

Step 7.3

Subtract

$58$ from

$1345$ .

$\frac{1287}{20}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{1287}{20}$

Decimal Form:

$64.35$

Mixed Number Form:

$64 \frac{7}{20}$