If [tex]\frac{6}{10}[/tex] is multiplied with a fraction less than 1, out of the given options [tex]\frac{1}{2}[/tex] would be the answer.
Explanation:
First, we need to determine what a fraction lesser than 1 is. If the numerator is lesser than the denominator, the fraction will be lesser than 1 whereas if the denominator is higher than the numerator is would equal more than 1.
If [tex]\frac{6}{10}[/tex] is multiplied with 1, we get the value [tex]\frac{6}{10}[/tex]. Since the fraction must be lesser than 1, [tex]\frac{6}{10}[/tex] cannot be an answer. So option 1 cannot be the answer.
The value of [tex]\frac{6}{10}[/tex] is 0.6. If it is multiplied with any value lesser than 1, the resulting value cannot be higher than the value of 0.6. The value of the fraction [tex]\frac{3}{2}[/tex] is 1.5 and the value of 5 are both greater than 0.6. So the third and fourth options cannot be the answer. So [tex]\frac{1}{2}[/tex] is the answer.