Which fraction also belongs in set a?
set - 3/24, 5/40, 9/72, 6/48
a. 4/24
b. 2/8
c.4/32
d. 8/40
All of the fractions in set a = 1/8.
Which of your choices also = 1/8?
C. 4/32
To determine which fraction also belongs in set A, we need to find a fraction that has the same pattern as the fractions in set A.
The given fractions in set A are: 3/24, 5/40, 9/72, and 6/48.
We can observe that all the fractions have a common pattern. The numerator is always one more than the denominator multiplied by the same factor. For example, in the first fraction, 3/24, the numerator is 3, and the denominator is 24. If we multiply 24 by 1, we get 24. Adding 1 to 24, we get 25. So, the numerator of the next fraction is 25.
Following the same pattern, we can find the missing fraction by multiplying the denominator of the previous fraction by the same factor and adding 1 to it. Let's apply this pattern to the given options:
a. 4/24: If we multiply 24 by 1, we get 24. Adding 1 to 24, we get 25. But the numerator in option a is 4, which does not match the pattern. So, option a is not the correct fraction.
b. 2/8: If we multiply 8 by 3, we get 24. Adding 1 to 24, we get 25. The numerator in option b is 2, which matches the pattern. So, option b, 2/8, belongs in set A.
c. 4/32: If we multiply 32 by 3, we get 96. Adding 1 to 96, we get 97. But the numerator in option c is 4, which does not match the pattern. So, option c is not the correct fraction.
d. 8/40: If we multiply 40 by 3, we get 120. Adding 1 to 120, we get 121. But the numerator in option d is 8, which does not match the pattern. So, option d is not the correct fraction.
Therefore, the fraction that also belongs in set A is option b, 2/8.