Which of the following fractions is in simplest form? a)5/6 b)6/8 c)8/10 d)2/12. My answer is a.
Right.
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To determine which fraction is in simplest form, we need to check if the numerator and denominator have any common factors other than 1.
Let's analyze the fractions one by one:
a) 5/6 - To check if this fraction is in simplest form, we need to determine if 5 and 6 have any common factors other than 1. Since 5 and 6 do not share any common factors, we can say that 5/6 is in simplest form.
b) 6/8 - To determine if this fraction is in simplest form, we need to find the greatest common factor (GCF) of 6 and 8. The GCF of 6 and 8 is 2. To put the fraction in simplest form, we can divide both the numerator and denominator by the GCF: 6 divided by 2 is 3, and 8 divided by 2 is 4. Therefore, the simplified form of 6/8 is 3/4.
c) 8/10 - Similar to the previous fraction, we need to find the GCF of 8 and 10, which is 2. Dividing both the numerator and denominator by 2 gives us 8/10 simplified to 4/5.
d) 2/12 - To determine if this fraction is in simplest form, we need to find the GCF of 2 and 12. The GCF of 2 and 12 is 2. Dividing both the numerator and denominator by 2 yields 2/12 simplified to 1/6.
Therefore, the fraction that is in simplest form is a) 5/6.