1. Write three equivalent fractions for each of the following:
4
(a) } (b)
(C)
7
(d)
13
5
Answers
Answer:
What are Equivalent Fractions?
Equivalent fractions are two or more fractions that result in the same value after simplification. Suppose a/b and c/d are two fractions, then the fractions are equivalent only if the simplification of each fraction results in e/f.
In other words,
a/b = c/d = e/f.
For example, a fraction 1/3 has an equivalent of 5/15 because of simplification of 5/15 results in the same value as 1/3.
Now the question arises for why these fractions are equal despite having different numbers. The answer to this query is that the fractions contain numerators and denominators that are not co-prime numbers. Therefore they have a common multiple which on division produces the same value.
Let’s take an example:
1/2 = 2/4 = 4/8
You can notice that yet the above two factions have different integers, but after dividing both the numerator and denominator by a common factor, the result is:
(4 ÷ 4)/(8 ÷ 4)
=1/2
In this case, if we simplify 2/4, the result 1/2 again.
(2 ÷ 2)/(4 ÷ 2)
= 1/2
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