Answer :
Final answer:
To find an equivalent fraction for 24/30, divide both the numerator and the denominator by their greatest common divisor, which is 6, resulting in the equivalent fraction 4/5.
Explanation:
An equivalent fraction for 24/30 can be found by simplifying the fraction, which means reducing it to its simplest form by dividing the numerator and the denominator by their greatest common divisor (GCD). In this case, both 24 and 30 are divisible by 6.
Step 1: Find the GCD of 24 and 30, which is 6.
Step 2: Divide both the numerator and the denominator by 6.
24 ÷ 6 = 4 and 30 ÷ 6 = 5. So, the equivalent fraction is 4/5.
There's an infinite number of equivalent fractions for 24/30 - all you need to do is to divide or multiple both numerator and denominator by the same number. For example:
24/30 = 48/60 (because 24 * 2 = 48 and 30 * 2 = 60)
24/30 = 12/15 (because 24 ÷ 2 = 12 and 30 ÷ 2 = 15)
24/30 = 72/90 (because 24 * 3 = 72 and 30 * 3 = 90)
24/30 = 4/5 (because 24 ÷ 6 = 4 and 30 ÷ 6 = 5)
etc...
24/30 = 48/60 (because 24 * 2 = 48 and 30 * 2 = 60)
24/30 = 12/15 (because 24 ÷ 2 = 12 and 30 ÷ 2 = 15)
24/30 = 72/90 (because 24 * 3 = 72 and 30 * 3 = 90)
24/30 = 4/5 (because 24 ÷ 6 = 4 and 30 ÷ 6 = 5)
etc...
