Basic Math Examples

2 \frac{3}{4} \cdot 60

$2 \frac{3}{4} \cdot 60$

Step 1

Convert

2 \frac{3}{4}

$2 \frac{3}{4}$ 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}{4}) \cdot 60

$(2 + \frac{3}{4}) \cdot 60$

Step 1.2

Add

2

$2$ and

\frac{3}{4}

$\frac{3}{4}$ .

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Step 1.2.1

To write

2

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

\frac{4}{4}

$\frac{4}{4}$ .

(2 \cdot \frac{4}{4} + \frac{3}{4}) \cdot 60

$(2 \cdot \frac{4}{4} + \frac{3}{4}) \cdot 60$

Step 1.2.2

Combine

2

$2$ and

\frac{4}{4}

$\frac{4}{4}$ .

(\frac{2 \cdot 4}{4} + \frac{3}{4}) \cdot 60

$(\frac{2 \cdot 4}{4} + \frac{3}{4}) \cdot 60$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 4 + 3}{4} \cdot 60

$\frac{2 \cdot 4 + 3}{4} \cdot 60$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

4

$4$ .

\frac{8 + 3}{4} \cdot 60

$\frac{8 + 3}{4} \cdot 60$

Step 1.2.4.2

Add

8

$8$ and

3

$3$ .

\frac{11}{4} \cdot 60

$\frac{11}{4} \cdot 60$

\frac{11}{4} \cdot 60

$\frac{11}{4} \cdot 60$

\frac{11}{4} \cdot 60

$\frac{11}{4} \cdot 60$

\frac{11}{4} \cdot 60

$\frac{11}{4} \cdot 60$

Step 2

Cancel the common factor of

4

$4$ .

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Step 2.1

Factor

4

$4$ out of

60

$60$ .

\frac{11}{4} \cdot (4 (15))

$\frac{11}{4} \cdot (4 (15))$

Step 2.2

Cancel the common factor.

$\frac{11}{4} \cdot (4 \cdot 15)$

Step 2.3

Rewrite the expression.

$11 \cdot 15$

Step 3

Multiply

$11$ by

$15$ .

$165$