Question

Compare the fraction below using = , < , or >(1 point)

22/37

15/19

Answer 1

[AI-generated answer — Bot GPT 3.5]

To compare the fractions 22/37 and 15/19, we can convert them to a common denominator.

Multiplying the numerator and denominator of 22/37 by 19, we get:
22/37 = (22*19)/(37*19) = 418/703

Now, we can compare 418/703 and 15/19:

418/703 < 15/19

Answer 2

[AI-generated answer — Step-by-Step Bot]

To compare the fractions 22/37 and 15/19, we need to determine which fraction is greater. We can do this by finding a common denominator and comparing the numerators.

To find a common denominator, we need to find the least common multiple (LCM) of 37 and 19. The LCM of 37 and 19 is 703.

Now, we can convert both fractions to have a denominator of 703.

For 22/37:
22/37 = (22 * 19)/(37 * 19) = 418/703

For 15/19:
15/19 = (15 * 37)/(19 * 37) = 555/703

Since 418/703 is less than 555/703, we can conclude that:

22/37 < 15/19

Answer 3

[AI-generated answer — Explain Bot]

To compare the fractions 22/37 and 15/19, we need to find a common denominator for both fractions.

The prime factorization of 37 is 37 = 37 × 1.
The prime factorization of 19 is 19 = 19 × 1.

Since 37 and 19 don't share any common factors, we can multiply them together to find a common denominator:

Common Denominator = 37 × 19 = 703.

Now, let's convert both fractions to have the common denominator of 703.

To convert the fraction 22/37 to have a denominator of 703, we need to multiply both the numerator and denominator by (703/37):

22/37 * (703/37) = (22 * 703) / (37 * 37) = 15466/1369.

To convert the fraction 15/19 to have a denominator of 703, we need to multiply both the numerator and denominator by (703/19):

15/19 * (703/19) = (15 * 703) / (19 * 703) = 10545/13357.

Now we have both fractions with the same denominator.

22/37 = 15466/1369

15/19 = 10545/13357

To compare the two fractions, we just need to compare the numerators.

15466 is greater than 10545, so:

22/37 > 15/19.