What is expand 12*4 1/2 ?

The solution to expand 12*4 1/2 is 54

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expand 12*4 1/2

expand

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

54

Solution steps

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

Convert mixed numbers to improper fractions:

4 \frac{1}{2} = \frac{9}{2}

= 12 \cdot \frac{9}{2}

Convert element to fraction:

12 = \frac{12}{1}

= \frac{9}{2} \cdot \frac{12}{1}

Cross-cancel common factor:

2

= \frac{6}{1} \cdot \frac{9}{1}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{6 \cdot 9}{1 \cdot 1}

Multiply the numbers:

6 \cdot 9 = 54

= \frac{54}{1 \cdot 1}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{54}{1}

Apply rule

\frac{a}{1} = a

= 54

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