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5 votes
What is the simplifed form of the fraction below?
24/30

2 Answers

5 votes

Factor both the numerator and denominator down to prime factors:

in exponential notation:

24 = 23 × 3

30 = 2 × 3 × 5

Calculate the prime factors of numbers, online calculator

Calculate the greatest common factor, GCF:

Multiply all the common prime factors, by the lowest exponents.

gcd (23 × 3; 2 × 3 × 5) = 2 × 3

Calculate the greatest common factor, GCF, online calculator

Divide both the numerator and the denominator by their greatest common factor, GCF:

24/30 =

(23 × 3)/(2 × 3 × 5) =

((23 × 3) ÷ (2 × 3)) / ((2 × 3 × 5) ÷ (2 × 3)) =

22/5 =

4/5

User Madepiet
by
4.8k points
4 votes

Answer:

4/5

Explanation:

24/30 = 4/5 if you divide by 6

User Pedro Gimeno
by
5.1k points