Basic Math Examples

35 \frac{17}{20} - 25 \frac{11}{17}

$35 \frac{17}{20} - 25 \frac{11}{17}$

Step 1

Convert

35 \frac{17}{20}

$35 \frac{17}{20}$ to an improper fraction.

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Step 1.1

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

35 + \frac{17}{20} - 25 \frac{11}{17}

$35 + \frac{17}{20} - 25 \frac{11}{17}$

Step 1.2

Add

35

$35$ and

\frac{17}{20}

$\frac{17}{20}$ .

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Step 1.2.1

To write

35

$35$ as a fraction with a common denominator, multiply by

\frac{20}{20}

$\frac{20}{20}$ .

35 \cdot \frac{20}{20} + \frac{17}{20} - 25 \frac{11}{17}

$35 \cdot \frac{20}{20} + \frac{17}{20} - 25 \frac{11}{17}$

Step 1.2.2

Combine

35

$35$ and

\frac{20}{20}

$\frac{20}{20}$ .

\frac{35 \cdot 20}{20} + \frac{17}{20} - 25 \frac{11}{17}

$\frac{35 \cdot 20}{20} + \frac{17}{20} - 25 \frac{11}{17}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{35 \cdot 20 + 17}{20} - 25 \frac{11}{17}

$\frac{35 \cdot 20 + 17}{20} - 25 \frac{11}{17}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

35

$35$ by

20

$20$ .

\frac{700 + 17}{20} - 25 \frac{11}{17}

$\frac{700 + 17}{20} - 25 \frac{11}{17}$

Step 1.2.4.2

Add

700

$700$ and

17

$17$ .

\frac{717}{20} - 25 \frac{11}{17}

$\frac{717}{20} - 25 \frac{11}{17}$

\frac{717}{20} - 25 \frac{11}{17}

$\frac{717}{20} - 25 \frac{11}{17}$

\frac{717}{20} - 25 \frac{11}{17}

$\frac{717}{20} - 25 \frac{11}{17}$

\frac{717}{20} - 25 \frac{11}{17}

$\frac{717}{20} - 25 \frac{11}{17}$

Step 2

Convert

25 \frac{11}{17}

$25 \frac{11}{17}$ to an improper fraction.

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Step 2.1

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

\frac{717}{20} - (25 + \frac{11}{17})

$\frac{717}{20} - (25 + \frac{11}{17})$

Step 2.2

Add

25

$25$ and

\frac{11}{17}

$\frac{11}{17}$ .

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Step 2.2.1

To write

25

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

\frac{17}{17}

$\frac{17}{17}$ .

\frac{717}{20} - (25 \cdot \frac{17}{17} + \frac{11}{17})

$\frac{717}{20} - (25 \cdot \frac{17}{17} + \frac{11}{17})$

Step 2.2.2

Combine

25

$25$ and

\frac{17}{17}

$\frac{17}{17}$ .

\frac{717}{20} - (\frac{25 \cdot 17}{17} + \frac{11}{17})

$\frac{717}{20} - (\frac{25 \cdot 17}{17} + \frac{11}{17})$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{717}{20} - \frac{25 \cdot 17 + 11}{17}

$\frac{717}{20} - \frac{25 \cdot 17 + 11}{17}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

25

$25$ by

17

$17$ .

\frac{717}{20} - \frac{425 + 11}{17}

$\frac{717}{20} - \frac{425 + 11}{17}$

Step 2.2.4.2

Add

425

$425$ and

11

$11$ .

\frac{717}{20} - \frac{436}{17}

$\frac{717}{20} - \frac{436}{17}$

\frac{717}{20} - \frac{436}{17}

$\frac{717}{20} - \frac{436}{17}$

\frac{717}{20} - \frac{436}{17}

$\frac{717}{20} - \frac{436}{17}$

\frac{717}{20} - \frac{436}{17}

$\frac{717}{20} - \frac{436}{17}$

Step 3

To write

\frac{717}{20}

$\frac{717}{20}$ as a fraction with a common denominator, multiply by

\frac{17}{17}

$\frac{17}{17}$ .

\frac{717}{20} \cdot \frac{17}{17} - \frac{436}{17}

$\frac{717}{20} \cdot \frac{17}{17} - \frac{436}{17}$

Step 4

To write

- \frac{436}{17}

$- \frac{436}{17}$ as a fraction with a common denominator, multiply by

\frac{20}{20}

$\frac{20}{20}$ .

\frac{717}{20} \cdot \frac{17}{17} - \frac{436}{17} \cdot \frac{20}{20}

$\frac{717}{20} \cdot \frac{17}{17} - \frac{436}{17} \cdot \frac{20}{20}$

Step 5

Write each expression with a common denominator of

340

$340$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 5.1

Multiply

\frac{717}{20}

$\frac{717}{20}$ by

\frac{17}{17}

$\frac{17}{17}$ .

\frac{717 \cdot 17}{20 \cdot 17} - \frac{436}{17} \cdot \frac{20}{20}

$\frac{717 \cdot 17}{20 \cdot 17} - \frac{436}{17} \cdot \frac{20}{20}$

Step 5.2

Multiply

20

$20$ by

17

$17$ .

\frac{717 \cdot 17}{340} - \frac{436}{17} \cdot \frac{20}{20}

$\frac{717 \cdot 17}{340} - \frac{436}{17} \cdot \frac{20}{20}$

Step 5.3

Multiply

\frac{436}{17}

$\frac{436}{17}$ by

\frac{20}{20}

$\frac{20}{20}$ .

\frac{717 \cdot 17}{340} - \frac{436 \cdot 20}{17 \cdot 20}

$\frac{717 \cdot 17}{340} - \frac{436 \cdot 20}{17 \cdot 20}$

Step 5.4

Multiply

17

$17$ by

20

$20$ .

\frac{717 \cdot 17}{340} - \frac{436 \cdot 20}{340}

$\frac{717 \cdot 17}{340} - \frac{436 \cdot 20}{340}$

\frac{717 \cdot 17}{340} - \frac{436 \cdot 20}{340}

$\frac{717 \cdot 17}{340} - \frac{436 \cdot 20}{340}$

Step 6

Combine the numerators over the common denominator.

\frac{717 \cdot 17 - 436 \cdot 20}{340}

$\frac{717 \cdot 17 - 436 \cdot 20}{340}$

Step 7

Simplify the numerator.

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Step 7.1

Multiply

717

$717$ by

17

$17$ .

\frac{12189 - 436 \cdot 20}{340}

$\frac{12189 - 436 \cdot 20}{340}$

Step 7.2

Multiply

- 436

$- 436$ by

20

$20$ .

\frac{12189 - 8720}{340}

$\frac{12189 - 8720}{340}$

Step 7.3

Subtract

8720

$8720$ from

12189

$12189$ .

\frac{3469}{340}

$\frac{3469}{340}$

\frac{3469}{340}

$\frac{3469}{340}$

Step 8

The result can be shown in multiple forms.

Exact Form:

\frac{3469}{340}

$\frac{3469}{340}$

Decimal Form:

10.20294117 \dots

$10.20294117 \dots$

Mixed Number Form:

10 \frac{69}{340}

$10 \frac{69}{340}$