Basic Math Examples

2 \frac{3}{5} + 30

$2 \frac{3}{5} + 30$

Step 1

Convert

2 \frac{3}{5}

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

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Step 1.1

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

2 + \frac{3}{5} + 30

$2 + \frac{3}{5} + 30$

Step 1.2

Add

2

$2$ and

\frac{3}{5}

$\frac{3}{5}$ .

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Step 1.2.1

To write

2

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

\frac{5}{5}

$\frac{5}{5}$ .

2 \cdot \frac{5}{5} + \frac{3}{5} + 30

$2 \cdot \frac{5}{5} + \frac{3}{5} + 30$

Step 1.2.2

Combine

2

$2$ and

\frac{5}{5}

$\frac{5}{5}$ .

\frac{2 \cdot 5}{5} + \frac{3}{5} + 30

$\frac{2 \cdot 5}{5} + \frac{3}{5} + 30$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 5 + 3}{5} + 30

$\frac{2 \cdot 5 + 3}{5} + 30$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

5

$5$ .

\frac{10 + 3}{5} + 30

$\frac{10 + 3}{5} + 30$

Step 1.2.4.2

Add

10

$10$ and

3

$3$ .

\frac{13}{5} + 30

$\frac{13}{5} + 30$

\frac{13}{5} + 30

$\frac{13}{5} + 30$

\frac{13}{5} + 30

$\frac{13}{5} + 30$

\frac{13}{5} + 30

$\frac{13}{5} + 30$

Step 2

To write

30

$30$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{13}{5} + 30 \cdot \frac{5}{5}

$\frac{13}{5} + 30 \cdot \frac{5}{5}$

Step 3

Combine

30

$30$ and

\frac{5}{5}

$\frac{5}{5}$ .

\frac{13}{5} + \frac{30 \cdot 5}{5}

$\frac{13}{5} + \frac{30 \cdot 5}{5}$

Step 4

Combine the numerators over the common denominator.

\frac{13 + 30 \cdot 5}{5}

$\frac{13 + 30 \cdot 5}{5}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

30

$30$ by

5

$5$ .

\frac{13 + 150}{5}

$\frac{13 + 150}{5}$

Step 5.2

Add

13

$13$ and

150

$150$ .

\frac{163}{5}

$\frac{163}{5}$

\frac{163}{5}

$\frac{163}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{163}{5}

$\frac{163}{5}$

Decimal Form:

32.6

$32.6$

Mixed Number Form:

32 \frac{3}{5}

$32 \frac{3}{5}$