Compare the fraction below using = , < , or >(1 point) '
22/37 ___ 15/19
To compare the fractions 22/37 and 15/19, we can convert them to equivalent fractions with the same denominator.
Multiplying the numerator and denominator of 22/37 by 19 gives us:
(22/37) * (19/19) = 418/703
Now we can compare 418/703 and 15/19:
418/703 ___ 15/19
Since 418/703 is greater than 15/19, we can say that:
22/37 > 15/19
To compare the fractions 22/37 and 15/19, we need to find a common denominator for both fractions.
The least common multiple (LCM) of 37 and 19 is 703. Therefore, we can rewrite the fractions with this common denominator:
22/37 = (22/37) x (19/19) = (22 x 19) / (37 x 19) = 418 / 703
15/19 = (15/19) x (37/37) = (15 x 37) / (19 x 37) = 555 / 703
Now, we can compare the fractions:
418/703 ___ 555/703
Since the numerators are different, we just need to compare them:
418 < 555
Therefore, 22/37 < 15/19.
To compare the fractions 22/37 and 15/19, we need to find a common denominator for both fractions. The smallest common denominator will be the product of the denominators, which is 37 * 19 = 703.
Now, let's convert both fractions to have the common denominator of 703:
22/37 = (22 * 19) / (37 * 19) = 418 / 703
15/19 = (15 * 37) / (19 * 37) = 555 / 703
Now that both fractions have the same denominator, we can compare the numerators.
Since 418 is less than 555, the fraction 22/37 is less than 15/19.
Therefore, the correct comparison for the fractions 22/37 and 15/19 is: 22/37 < 15/19.