The ratio 2/3:3/4 is equal to the ratio of 24 to ___?
24 = 2/3 * 36. So, multiply by 36, and you have
2/3:3/4 = 24:27 = 8:9
or, if you use a common denominator,
2/3 : 3/4 = 8/12 : 9/12 = 8:9
To determine the missing term in the ratio, we need to find an equivalent ratio to 2/3:3/4.
First, let's find the least common multiple (LCM) of the denominators, which are 3 and 4. The LCM of 3 and 4 is 12.
Now we convert the fractions to have the same denominator of 12:
2/3 = 8/12 (multiply numerator and denominator by 4)
3/4 = 9/12 (multiply numerator and denominator by 3)
So, the equivalent ratio to 2/3:3/4 is 8/12:9/12.
To find the missing term, we can use the fact that the ratio remains the same when all terms are multiplied or divided by the same number.
In this case, we know that 2/3 is equal to 8/12; therefore, the missing term is also equal to 8/12.
We are given that the ratio 2/3:3/4 is equal to the ratio of 24 to the missing term.
Setting up the equation:
8/12 = 24/x
To solve for x, we can cross-multiply:
8 * x = 12 * 24
x = (12 * 24) / 8
x = 36
Therefore, the ratio 2/3:3/4 is equal to the ratio of 24 to 36.