find the ratio x:y (hint: same as
find x/y):
2 1/2 x = 4 1/2 y
what do you think it is
Assuming 2 1/2 is a mixed fraction | Use 2 1/2 as a product instead
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(2 + 1/2) x = (4 + 1/2) y
To find the ratio x:y, we can follow the steps below:
Step 1: Convert the mixed numbers to improper fractions.
- The mixed number 2 1/2 can be written as an improper fraction as (2 * 2 + 1) / 2 = 5/2.
- The mixed number 4 1/2 can be written as an improper fraction as (4 * 2 + 1) / 2 = 9/2.
Step 2: Set up the ratio expression with the converted fractions.
- The ratio x:y is the same as the ratio x/y, so we can write it as (5/ 2) / (9/2).
Step 3: Simplify the ratio.
- When dividing by a fraction, we can multiply by its reciprocal (flipping it upside down).
- So, (5/2) / (9/2) is equivalent to (5/2) * (2/9).
Step 4: Simplify further if possible.
- The 2 in the numerator and denominator cancels out, leaving us with 5/9.
Therefore, the ratio x:y (or x/y) is 5:9.