Basic Math Examples

$29 + 3 \frac{1}{5} - 5$

Step 1

Convert $3 \frac{1}{5}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$29 + 3 + \frac{1}{5} - 5$

Step 1.2

Add $3$ and $\frac{1}{5}$ .

Tap for more steps...

Step 1.2.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$29 + 3 \cdot \frac{5}{5} + \frac{1}{5} - 5$

Step 1.2.2

Combine $3$ and $\frac{5}{5}$ .

$29 + \frac{3 \cdot 5}{5} + \frac{1}{5} - 5$

Step 1.2.3

Combine the numerators over the common denominator.

$29 + \frac{3 \cdot 5 + 1}{5} - 5$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply $3$ by $5$ .

$29 + \frac{15 + 1}{5} - 5$

Step 1.2.4.2

Add $15$ and $1$ .

$29 + \frac{16}{5} - 5$

Step 2

Find the common denominator.

Tap for more steps...

Step 2.1

Write $29$ as a fraction with denominator $1$ .

$\frac{29}{1} + \frac{16}{5} - 5$

Step 2.2

Multiply $\frac{29}{1}$ by $\frac{5}{5}$ .

$\frac{29}{1} \cdot \frac{5}{5} + \frac{16}{5} - 5$

Step 2.3

Multiply $\frac{29}{1}$ by $\frac{5}{5}$ .

$\frac{29 \cdot 5}{5} + \frac{16}{5} - 5$

Step 2.4

Write $- 5$ as a fraction with denominator $1$ .

$\frac{29 \cdot 5}{5} + \frac{16}{5} + \frac{- 5}{1}$

Step 2.5

Multiply $\frac{- 5}{1}$ by $\frac{5}{5}$ .

$\frac{29 \cdot 5}{5} + \frac{16}{5} + \frac{- 5}{1} \cdot \frac{5}{5}$

Step 2.6

Multiply $\frac{- 5}{1}$ by $\frac{5}{5}$ .

$\frac{29 \cdot 5}{5} + \frac{16}{5} + \frac{- 5 \cdot 5}{5}$

Step 3

Combine the numerators over the common denominator.

$\frac{29 \cdot 5 + 16 - 5 \cdot 5}{5}$

Step 4

Simplify each term.

Tap for more steps...

Step 4.1

Multiply $29$ by $5$ .

$\frac{145 + 16 - 5 \cdot 5}{5}$

Step 4.2

Multiply $- 5$ by $5$ .

$\frac{145 + 16 - 25}{5}$

Step 5

Simplify by adding and subtracting.

Tap for more steps...

Step 5.1

Add $145$ and $16$ .

$\frac{161 - 25}{5}$

Step 5.2

Subtract $25$ from $161$ .

$\frac{136}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{136}{5}$

Decimal Form:

$27.2$

Mixed Number Form:

$27 \frac{1}{5}$