Question

teodoro
$1\frac{1}{2} \times 12 = $ ?

Explanation:

Step1: Convert mixed number to improper fraction

The mixed number \(1\frac{1}{2}\) can be converted to an improper fraction. To do this, we multiply the whole number part (1) by the denominator (2) and add the numerator (1). So, \(1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}\).

Step2: Multiply the improper fraction by 12

Now we multiply \(\frac{3}{2}\) by 12. We can write 12 as \(\frac{12}{1}\), so the multiplication becomes \(\frac{3}{2}\times\frac{12}{1}\). When multiplying fractions, we multiply the numerators together and the denominators together: \(\frac{3\times12}{2\times1}=\frac{36}{2}\).

Step3: Simplify the fraction

Simplifying \(\frac{36}{2}\) gives us 18.

Answer:

18