Basic Math Examples

2 \frac{13}{20} \cdot 48

$2 \frac{13}{20} \cdot 48$

Step 1

Convert

2 \frac{13}{20}

$2 \frac{13}{20}$ 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{13}{20}) \cdot 48

$(2 + \frac{13}{20}) \cdot 48$

Step 1.2

Add

2

$2$ and

\frac{13}{20}

$\frac{13}{20}$ .

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Step 1.2.1

To write

2

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

\frac{20}{20}

$\frac{20}{20}$ .

(2 \cdot \frac{20}{20} + \frac{13}{20}) \cdot 48

$(2 \cdot \frac{20}{20} + \frac{13}{20}) \cdot 48$

Step 1.2.2

Combine

2

$2$ and

\frac{20}{20}

$\frac{20}{20}$ .

(\frac{2 \cdot 20}{20} + \frac{13}{20}) \cdot 48

$(\frac{2 \cdot 20}{20} + \frac{13}{20}) \cdot 48$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 20 + 13}{20} \cdot 48

$\frac{2 \cdot 20 + 13}{20} \cdot 48$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

20

$20$ .

\frac{40 + 13}{20} \cdot 48

$\frac{40 + 13}{20} \cdot 48$

Step 1.2.4.2

Add

40

$40$ and

13

$13$ .

\frac{53}{20} \cdot 48

$\frac{53}{20} \cdot 48$

\frac{53}{20} \cdot 48

$\frac{53}{20} \cdot 48$

\frac{53}{20} \cdot 48

$\frac{53}{20} \cdot 48$

\frac{53}{20} \cdot 48

$\frac{53}{20} \cdot 48$

Step 2

Cancel the common factor of

4

$4$ .

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Step 2.1

Factor

4

$4$ out of

20

$20$ .

\frac{53}{4 (5)} \cdot 48

$\frac{53}{4 (5)} \cdot 48$

Step 2.2

Factor

4

$4$ out of

48

$48$ .

\frac{53}{4 \cdot 5} \cdot (4 \cdot 12)

$\frac{53}{4 \cdot 5} \cdot (4 \cdot 12)$

Step 2.3

Cancel the common factor.

$\frac{53}{4 \cdot 5} \cdot (4 \cdot 12)$

Step 2.4

Rewrite the expression.

$\frac{53}{5} \cdot 12$

Step 3

Combine

$\frac{53}{5}$ and

$12$ .

$\frac{53 \cdot 12}{5}$

Step 4

Multiply

$53$ by

$12$ .

$\frac{636}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{636}{5}$

Decimal Form:

$127.2$

Mixed Number Form:

$127 \frac{1}{5}$