Basic Math Examples

3 \frac{7}{10} + 1 \frac{9}{10}

$3 \frac{7}{10} + 1 \frac{9}{10}$

Step 1

Convert

3 \frac{7}{10}

$3 \frac{7}{10}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

3 + \frac{7}{10} + 1 \frac{9}{10}

$3 + \frac{7}{10} + 1 \frac{9}{10}$

Step 1.2

Add

3

$3$ and

\frac{7}{10}

$\frac{7}{10}$ .

Tap for more steps...

Step 1.2.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{10}{10}

$\frac{10}{10}$ .

3 \cdot \frac{10}{10} + \frac{7}{10} + 1 \frac{9}{10}

$3 \cdot \frac{10}{10} + \frac{7}{10} + 1 \frac{9}{10}$

Step 1.2.2

Combine

3

$3$ and

\frac{10}{10}

$\frac{10}{10}$ .

\frac{3 \cdot 10}{10} + \frac{7}{10} + 1 \frac{9}{10}

$\frac{3 \cdot 10}{10} + \frac{7}{10} + 1 \frac{9}{10}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 10 + 7}{10} + 1 \frac{9}{10}

$\frac{3 \cdot 10 + 7}{10} + 1 \frac{9}{10}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

3

$3$ by

10

$10$ .

\frac{30 + 7}{10} + 1 \frac{9}{10}

$\frac{30 + 7}{10} + 1 \frac{9}{10}$

Step 1.2.4.2

Add

30

$30$ and

7

$7$ .

\frac{37}{10} + 1 \frac{9}{10}

$\frac{37}{10} + 1 \frac{9}{10}$

\frac{37}{10} + 1 \frac{9}{10}

$\frac{37}{10} + 1 \frac{9}{10}$

\frac{37}{10} + 1 \frac{9}{10}

$\frac{37}{10} + 1 \frac{9}{10}$

\frac{37}{10} + 1 \frac{9}{10}

$\frac{37}{10} + 1 \frac{9}{10}$

Step 2

Convert

1 \frac{9}{10}

$1 \frac{9}{10}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

\frac{37}{10} + 1 + \frac{9}{10}

$\frac{37}{10} + 1 + \frac{9}{10}$

Step 2.2

Add

1

$1$ and

\frac{9}{10}

$\frac{9}{10}$ .

Tap for more steps...

Step 2.2.1

Write

1

$1$ as a fraction with a common denominator.

\frac{37}{10} + \frac{10}{10} + \frac{9}{10}

$\frac{37}{10} + \frac{10}{10} + \frac{9}{10}$

Step 2.2.2

Combine the numerators over the common denominator.

\frac{37}{10} + \frac{10 + 9}{10}

$\frac{37}{10} + \frac{10 + 9}{10}$

Step 2.2.3

Add

10

$10$ and

9

$9$ .

\frac{37}{10} + \frac{19}{10}

$\frac{37}{10} + \frac{19}{10}$

\frac{37}{10} + \frac{19}{10}

$\frac{37}{10} + \frac{19}{10}$

\frac{37}{10} + \frac{19}{10}

$\frac{37}{10} + \frac{19}{10}$

Step 3

Combine the numerators over the common denominator.

\frac{37 + 19}{10}

$\frac{37 + 19}{10}$

Step 4

Add

37

$37$ and

19

$19$ .

\frac{56}{10}

$\frac{56}{10}$

Step 5

Cancel the common factor of

56

$56$ and

10

$10$ .

Tap for more steps...

Step 5.1

Factor

2

$2$ out of

56

$56$ .

\frac{2 (28)}{10}

$\frac{2 (28)}{10}$

Step 5.2

Cancel the common factors.

Tap for more steps...

Step 5.2.1

Factor

2

$2$ out of

10

$10$ .

\frac{2 \cdot 28}{2 \cdot 5}

$\frac{2 \cdot 28}{2 \cdot 5}$

Step 5.2.2

Cancel the common factor.

$\frac{2 \cdot 28}{2 \cdot 5}$

Step 5.2.3

Rewrite the expression.

$\frac{28}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{28}{5}$

Decimal Form:

$5.6$

Mixed Number Form:

$5 \frac{3}{5}$