J.T. shaded 3/5 of a rectangle. Mary shaded 4/12 of a congruent rectangle. who shaded more. how do you know
Use equivalent fractions with the same denominator.
3/5 = 36/60
4/12 = 20/60
3/5 = 36/60
4/12 = 20/50
so 3/5 is bigger
To determine who shaded more, we need to compare the fractions shaded.
First, let's find a common denominator for 3/5 and 4/12. The least common multiple of 5 and 12 is 60, so we'll convert both fractions to have a denominator of 60.
To convert 3/5 to have a denominator of 60, we multiply both the numerator and denominator by 12:
(3/5) * (12/12) = 36/60
To convert 4/12 to have a denominator of 60, we multiply both the numerator and denominator by 5:
(4/12) * (5/5) = 20/60
Now we have both fractions with a common denominator, and we can see that 36/60 is greater than 20/60. Therefore, J.T. shaded more of the rectangle.
In summary, J.T. shaded 36/60 of the rectangle, while Mary shaded 20/60. By comparing the fractions, we can determine that J.T. shaded more.