On the middle school football team 20 out of 32 players are eighth graders what are two equivalent fractions for the fraction of football team that are eighth graders
To find two equivalent fractions for the fraction of the football team that are eighth graders, we need to find fractions that represent the same value but have different numerators and denominators.
Step 1: Find the fraction of eighth graders in simplest form.
To determine the fraction of eighth graders in simplest form, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 20 and 32 is 4. Therefore, the simplified fraction is:
20 ÷ 4 / 32 ÷ 4 = 5/8
Step 2: Find two equivalent fractions.
To find equivalent fractions, we can multiply or divide both the numerator and denominator of the simplified fraction by the same non-zero number.
Equivalent Fraction 1: Multiply both the numerator and denominator by the same number.
For example, multiplying both the numerator and denominator of 5/8 by 2 gives us:
(5 × 2) / (8 × 2) = 10/16
Equivalent Fraction 2: Divide both the numerator and denominator by the same number.
Similarly, dividing both the numerator and denominator of 5/8 by 2 gives us:
(5 ÷ 2) / (8 ÷ 2) = 5/4
So, two equivalent fractions for the fraction of the football team that are eighth graders are 10/16 and 5/4.