volume_mute

Multiply

publish date2023/09/22 02:47:00 GMT+10

$\frac12 \cdot 3$

volume_mute

Correct Answer

$\frac32$

Explanation

We will begin by writing the integer 3 as a fraction.  Then we can use the rule for multiplying two fractions to find the product.

  • Write 3 as a fraction: 3 = \(\frac31\)
    • \(\frac12 \cdot 3 = \frac12 \cdot \frac31\)
  • Multiply the numerators.  Multiply the denominators
    • = \(\frac{1 \cdot 3}{2 \cdot 1}\)
  • Since 3 and 2 have no common factors other than 1, the result is in simplest form
    • = \(\frac32\)

Reference

Mathematics for college students


Quizzes you can take where this question appears