on the middle school football team,20 out of 32 players are eighth graders. What are two equivalent fractions for the fractions of a of the football team are eighth graders?
A.10/16,4/8
B.16/10,8/5
C.10/16,5/8
D.10/16,4/5
plz answer fast ;-;
divide both top and bottom by 2 and you have 10/16
Try some other common divisors
So what’s the answer?
To find two equivalent fractions for the fraction of the football team that are eighth graders, we can simplify the fraction 20/32.
Step 1: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor.
The greatest common divisor of 20 and 32 is 4.
20 ÷ 4 = 5
32 ÷ 4 = 8
Step 2: Write the simplified fraction.
The simplified fraction of 20/32 is 5/8.
Now, we need to find two equivalent fractions for 5/8.
Step 3: Multiply or divide both the numerator and the denominator of 5/8 by the same number to get equivalent fractions.
To find two equivalent fractions, we can multiply and divide 5/8 by 2.
5/8 × 2/2 = 10/16
5/8 ÷ 2/2 = 5/8
Therefore, the two equivalent fractions for the fraction of the football team that are eighth graders are:
A. 10/16, 4/8
So, the correct answer is A.
To find two equivalent fractions for the fraction of the football team that are eighth graders, we need to simplify the fraction 20/32.
Step 1: Find the greatest common divisor (GCD) of both numbers (20 and 32). The GCD of 20 and 32 is 4.
Step 2: Divide both the numerator and denominator of 20/32 by the GCD (4).
20 ÷ 4 = 5
32 ÷ 4 = 8
So, the simplified fraction is 5/8.
Now, let's look at the given options:
A. 10/16 and 4/8:
To check if 10/16 is equivalent to 5/8, we can simplify 10/16. The GCD of 10 and 16 is 2.
10 ÷ 2 = 5
16 ÷ 2 = 8
Therefore, 10/16 is equivalent to 5/8. However, 4/8 is not, as it can be simplified further to 1/2.
B. 16/10 and 8/5:
To check if 16/10 is equivalent to 5/8, we simplify 16/10. The GCD of 16 and 10 is 2.
16 ÷ 2 = 8
10 ÷ 2 = 5
Therefore, 16/10 is equivalent to 8/5, but it is not equivalent to 5/8.
C. 10/16 and 5/8:
To check if 10/16 is equivalent to 5/8, we simplify 10/16. The GCD of 10 and 16 is 2.
10 ÷ 2 = 5
16 ÷ 2 = 8
Therefore, 10/16 is equivalent to 5/8.
D. 10/16 and 4/5:
To check if 10/16 is equivalent to 5/8, we simplify 10/16. The GCD of 10 and 16 is 2.
10 ÷ 2 = 5
16 ÷ 2 = 8
Therefore, 10/16 is equivalent to 5/8. However, 4/5 is not equivalent.
So, the correct answer is C. 10/16 and 5/8.