Question

Which of the following fractions has been simplified to lowest terms? Mark all that apply.

a. (5)/(10)
b. (24)/(56)
c. (16)/(152)
d. (117)/(171)
e. (119)/(1.33)

Answer 1

The fractions that have been simplified to lowest terms are (16)/(152) and (117)/(171).

Step-by-step explanation:

To determine which fractions have been simplified to lowest terms, we need to find the greatest common factor (GCF) of the numerator and the denominator. If the GCF is 1, then the fraction is already in lowest terms.

Let's check each fraction:

• a. (5)/(10): The GCF of 5 and 10 is 5, so this fraction is not simplified.
• b. (24)/(56): The GCF of 24 and 56 is 8, so this fraction is not simplified.
• c. (16)/(152): The GCF of 16 and 152 is 8. Dividing both the numerator and denominator by 8, we get (2)/(19). So, this fraction is simplified.
• d. (117)/(171): The GCF of 117 and 171 is 9. Dividing both the numerator and denominator by 9, we get (13)/(19). So, this fraction is simplified.
• e. (119)/(1.33): The GCF of 119 and 1.33 is 1. Since the GCF is already 1, this fraction is already in lowest terms.

So, the fractions that have been simplified to lowest terms are c. (16)/(152) and d. (117)/(171).