Basic Math Examples

6 \frac{7}{10} - 2 \frac{3}{5}

$6 \frac{7}{10} - 2 \frac{3}{5}$

Step 1

Convert

6 \frac{7}{10}

$6 \frac{7}{10}$ to an improper fraction.

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Step 1.1

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

6 + \frac{7}{10} - 2 \frac{3}{5}

$6 + \frac{7}{10} - 2 \frac{3}{5}$

Step 1.2

Add

6

$6$ and

\frac{7}{10}

$\frac{7}{10}$ .

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Step 1.2.1

To write

6

$6$ as a fraction with a common denominator, multiply by

\frac{10}{10}

$\frac{10}{10}$ .

6 \cdot \frac{10}{10} + \frac{7}{10} - 2 \frac{3}{5}

$6 \cdot \frac{10}{10} + \frac{7}{10} - 2 \frac{3}{5}$

Step 1.2.2

Combine

6

$6$ and

\frac{10}{10}

$\frac{10}{10}$ .

\frac{6 \cdot 10}{10} + \frac{7}{10} - 2 \frac{3}{5}

$\frac{6 \cdot 10}{10} + \frac{7}{10} - 2 \frac{3}{5}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{6 \cdot 10 + 7}{10} - 2 \frac{3}{5}

$\frac{6 \cdot 10 + 7}{10} - 2 \frac{3}{5}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

6

$6$ by

10

$10$ .

\frac{60 + 7}{10} - 2 \frac{3}{5}

$\frac{60 + 7}{10} - 2 \frac{3}{5}$

Step 1.2.4.2

Add

60

$60$ and

7

$7$ .

\frac{67}{10} - 2 \frac{3}{5}

$\frac{67}{10} - 2 \frac{3}{5}$

\frac{67}{10} - 2 \frac{3}{5}

$\frac{67}{10} - 2 \frac{3}{5}$

\frac{67}{10} - 2 \frac{3}{5}

$\frac{67}{10} - 2 \frac{3}{5}$

\frac{67}{10} - 2 \frac{3}{5}

$\frac{67}{10} - 2 \frac{3}{5}$

Step 2

Convert

2 \frac{3}{5}

$2 \frac{3}{5}$ to an improper fraction.

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Step 2.1

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

\frac{67}{10} - (2 + \frac{3}{5})

$\frac{67}{10} - (2 + \frac{3}{5})$

Step 2.2

Add

2

$2$ and

\frac{3}{5}

$\frac{3}{5}$ .

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Step 2.2.1

To write

2

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

\frac{5}{5}

$\frac{5}{5}$ .

\frac{67}{10} - (2 \cdot \frac{5}{5} + \frac{3}{5})

$\frac{67}{10} - (2 \cdot \frac{5}{5} + \frac{3}{5})$

Step 2.2.2

Combine

2

$2$ and

\frac{5}{5}

$\frac{5}{5}$ .

\frac{67}{10} - (\frac{2 \cdot 5}{5} + \frac{3}{5})

$\frac{67}{10} - (\frac{2 \cdot 5}{5} + \frac{3}{5})$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{67}{10} - \frac{2 \cdot 5 + 3}{5}

$\frac{67}{10} - \frac{2 \cdot 5 + 3}{5}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

2

$2$ by

5

$5$ .

\frac{67}{10} - \frac{10 + 3}{5}

$\frac{67}{10} - \frac{10 + 3}{5}$

Step 2.2.4.2

Add

10

$10$ and

3

$3$ .

\frac{67}{10} - \frac{13}{5}

$\frac{67}{10} - \frac{13}{5}$

\frac{67}{10} - \frac{13}{5}

$\frac{67}{10} - \frac{13}{5}$

\frac{67}{10} - \frac{13}{5}

$\frac{67}{10} - \frac{13}{5}$

\frac{67}{10} - \frac{13}{5}

$\frac{67}{10} - \frac{13}{5}$

Step 3

To write

- \frac{13}{5}

$- \frac{13}{5}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{67}{10} - \frac{13}{5} \cdot \frac{2}{2}

$\frac{67}{10} - \frac{13}{5} \cdot \frac{2}{2}$

Step 4

Write each expression with a common denominator of

10

$10$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 4.1

Multiply

\frac{13}{5}

$\frac{13}{5}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{67}{10} - \frac{13 \cdot 2}{5 \cdot 2}

$\frac{67}{10} - \frac{13 \cdot 2}{5 \cdot 2}$

Step 4.2

Multiply

5

$5$ by

2

$2$ .

\frac{67}{10} - \frac{13 \cdot 2}{10}

$\frac{67}{10} - \frac{13 \cdot 2}{10}$

Step 5

Combine the numerators over the common denominator.

$\frac{67 - 13 \cdot 2}{10}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply

$- 13$ by

$2$ .

$\frac{67 - 26}{10}$

Step 6.2

Subtract

$26$ from

$67$ .

$\frac{41}{10}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{41}{10}$

Decimal Form:

$4.1$

Mixed Number Form:

$4 \frac{1}{10}$