What denominator for 21/3 = 49/7 would make these ratios proportional? (1 point)
To make the ratios proportional, we need to find a common denominator for both fractions.
The denominator for 21/3 is 3, and the denominator for 49/7 is 7.
Now we need to find the least common multiple (LCM) of 3 and 7, which is simply the product of the two numbers, since they are prime.
The LCM of 3 and 7 is 3 * 7 = 21.
Therefore, a denominator of 21 would make the ratios proportional.
To make the ratios 21/3 and 49/7 proportional, we need to find the common denominator between the two denominators.
The denominator for 21/3 is 3, and the denominator for 49/7 is 7. The common denominator between 3 and 7 is 21.
To find the denominator that would make the ratios proportional, we need to find the least common multiple (LCM) of 3 and 7, which is 21.
Therefore, the denominator that would make the ratios 21/3 and 49/7 proportional is 21.
To determine the denominator that would make the ratios 21/3 and 49/7 proportional, we need to find the equivalent fractions with the same denominator.
The given ratios are:
21/3 and 49/7
To find a common denominator, we need to identify the least common multiple (LCM) of the denominators 3 and 7.
The multiples of 3 are: 3, 6, 9, 12, ...
The multiples of 7 are: 7, 14, 21, 28, ...
From the above lists, we can see that the least common multiple (LCM) of 3 and 7 is 21.
To make the ratios proportional, we need to rewrite the fractions with the new denominator, 21.
For the first ratio, 21/3, we multiply the numerator and denominator by 7 to get:
(21 * 7) / (3 * 7) = 147/21
For the second ratio, 49/7, there is no need for any changes since the denominator is already 7.
Therefore, to make the ratios proportional, we need to have the common denominator of 21.