Which group contains ratios that are all equivalent to 1/8?
A. 2/8, 2/16, 4/24
B. 2/16, 3/24, 4/32
C. 8/1, 16/2, 24/3
D. 3/8, 4/8, 5/8
3/8, 4/8, 5/8
it's b
To find the group containing ratios that are all equivalent to 1/8, we need to find ratios that can be simplified to 1/8.
Looking at the options:
A. 2/8, 2/16, 4/24 - These ratios can be simplified to 1/4, 1/8, and 1/6, respectively. None of them are equivalent to 1/8.
B. 2/16, 3/24, 4/32 - Similarly, these ratios simplify to 1/8, 1/8, and 1/8. All of them are equivalent to 1/8.
C. 8/1, 16/2, 24/3 - These ratios simplify to 8/1, 8/2, and 8/3. None of them are equivalent to 1/8.
D. 3/8, 4/8, 5/8 - These ratios cannot be simplified further and do not represent 1/8.
Therefore, the group that contains ratios all equivalent to 1/8 is B. 2/16, 3/24, 4/32.
To find the group that contains ratios that are all equivalent to 1/8, we need to simplify each ratio and see which ones reduce to 1/8.
Let's simplify each ratio:
A. 2/8, 2/16, 4/24
To simplify 2/8, we can cancel out the common factor of 2 in both the numerator and denominator, giving us 1/4.
To simplify 2/16, we can cancel out the common factor of 2 in both the numerator and denominator, giving us 1/8.
To simplify 4/24, we can cancel out the common factor of 4 in both the numerator and denominator, giving us 1/6.
B. 2/16, 3/24, 4/32
To simplify 2/16, we can cancel out the common factor of 2 in both the numerator and denominator, giving us 1/8.
To simplify 3/24, we can cancel out the common factor of 3 in both the numerator and denominator, giving us 1/8.
To simplify 4/32, we can cancel out the common factor of 4 in both the numerator and denominator, giving us 1/8.
C. 8/1, 16/2, 24/3
To simplify 8/1, we don't need to do anything as the ratio is already simplified.
To simplify 16/2, we can cancel out the common factor of 2 in both the numerator and denominator, giving us 8/1.
To simplify 24/3, we can cancel out the common factor of 3 in both the numerator and denominator, giving us 8/1.
D. 3/8, 4/8, 5/8
To simplify 3/8, we don't need to do anything as the ratio is already simplified.
To simplify 4/8, we can cancel out the common factor of 4 in both the numerator and denominator, giving us 1/2.
To simplify 5/8, we don't need to do anything as the ratio is already simplified.
From the simplifications, we can see that group B. 2/16, 3/24, 4/32 contains ratios that are all equivalent to 1/8.