Question

2 1/2 : 3 1/3 4 2/3 : 1 1/6

Answer 1

Ответ:

Пошаговое объяснение:

2 1/2 : 3 1/3  = 5/2 : 10/3 = 5/2 * 3/10 = 3/4

4 2/3 : 1 1/6 = 14/3 : 7/6 = 14/3 * 6/7 = 4

Answer 2

To compare the two ratios, we need to convert the mixed numbers to improper fractions and then simplify them if possible. Then we can compare the two resulting fractions.

1. Converting the mixed numbers to improper fractions:

For the first ratio, 2 1/2 can be converted to an improper fraction as follows:

2 1/2 = (2 * 2 + 1)/2 = 5/2

Similarly, for the second ratio, 4 2/3 can be converted to an improper fraction:

4 2/3 = (4 * 3 + 2)/3 = 14/3

2. Comparing the fractions:

The first ratio is 5/2, and the second ratio is 14/3.

To compare them, let's find a common denominator for both fractions, which is the least common multiple (LCM) of 2 and 3, which is 6.

Now, let's convert both fractions to have a denominator of 6:

5/2 = (5/2) * (3/3) = 15/6 14/3 = (14/3) * (2/2) = 28/6

Now we have:

2 1/2 : 3 1/3 = 15/6 : 28/6

3. Comparing the simplified fractions:

Now that both fractions have the same denominator, we can compare their numerators:

15/6 : 28/6

Since the denominators are the same, we only need to compare the numerators:

15 < 28

Therefore, the first ratio, 2 1/2 : 3 1/3, is smaller than the second ratio, 4 2/3 : 1 1/6.