Basic Math Examples

1 \frac{1}{2} \cdot 4

$1 \frac{1}{2} \cdot 4$

Step 1

Convert

1 \frac{1}{2}

$1 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

(1 + \frac{1}{2}) \cdot 4

$(1 + \frac{1}{2}) \cdot 4$

Step 1.2

Add

1

$1$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

(\frac{2}{2} + \frac{1}{2}) \cdot 4

$(\frac{2}{2} + \frac{1}{2}) \cdot 4$

Step 1.2.2

Combine the numerators over the common denominator.

\frac{2 + 1}{2} \cdot 4

$\frac{2 + 1}{2} \cdot 4$

Step 1.2.3

Add

2

$2$ and

1

$1$ .

\frac{3}{2} \cdot 4

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

\frac{3}{2} \cdot 4

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

\frac{3}{2} \cdot 4

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

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Factor

2

$2$ out of

4

$4$ .

\frac{3}{2} \cdot (2 (2))

$\frac{3}{2} \cdot (2 (2))$

Step 2.2

Cancel the common factor.

$\frac{3}{2} \cdot (2 \cdot 2)$

Step 2.3

Rewrite the expression.

$3 \cdot 2$

Step 3

Multiply

$3$ by

$2$ .

$6$

$1 \frac{1}{2} \cdot 4$

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