Question

Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help. 6/10 ________4/6

a. Is greater than
b. Cannot be compared to
c. Is less than
d. Is equal to

Answer 1

To compare the fractions 6/10 and 4/6, convert both fractions to have the same denominator and compare the numerators. The fraction 4/6 is greater than 6/10.

Step-by-step explanation:

To compare the fractions 6/10 and 4/6, we can convert both fractions to have the same denominator. The least common multiple of 10 and 6 is 30. Therefore, to compare the fractions, we need to convert them to fractions with a denominator of 30.

Converting 6/10 to have a denominator of 30, we multiply both the numerator and denominator by 3, resulting in 18/30.

Converting 4/6 to have a denominator of 30, we multiply both the numerator and denominator by 5, resulting in 20/30.

Now that both fractions have the same denominator, we can compare the numerators. Since 20 is larger than 18, the fraction 4/6 is greater than 6/10.

Therefore, the correct phrase to insert on the line is: a. Is greater than.