Respuesta :
Answer:
C. [tex]1\dfrac{1}{2}[/tex] * [tex]\dfrac{1}{2}[/tex]
Explanation:
They swam for total [tex]1\dfrac{1}{2}[/tex] hours. Half of this hours they spent swimming laps.
Thus the equation: [tex]1\dfrac{1}{2}[/tex] * [tex]\dfrac{1}{2}[/tex] = [tex]\dfrac{3}{4}[/tex] hours
don't confuse! [tex]\frac{1}{2}[/tex] refers to ÷ 2
Easier method:
- given that they swam for [tex]1\dfrac{1}{2}[/tex], that's 1.5 hours in decimals.
- half hours: 1.5 ÷ 2 = 0.75 hours which is [tex]\dfrac{3}{4}[/tex] hours in fraction.
- we can find [tex]\dfrac{3}{4}[/tex] from option C only thus its our answer.
Solution:
Note that:
- If a fraction is being divided by another fraction, that fraction will become it's reciprocal and the sign will change to multiplication.
- Example: x/6 ÷ y/2 = x/6 × 2/y
The question is saying "half of 1 1/2".
- => half of 1 1/2 = 1 1/2 ÷ 2 = 1 1/2 x 1/2
Option C is correct.