Macy and Bill were painting the shed. Macy painted 2/3 of the shed and Bill painted 1/4 of the shed. Which statement is TRUE?
Together they painted a little more than half the shed.
Together they painted almost the entire shed.
Together they didn’t even paint half of the shed.
Together they painted three-fourths of the shed.
Together they painted almost the entire shed.
To find the total fraction of the shed painted by Macy and Bill, we need to add the fractions together: 2/3 + 1/4.
To add fractions with different denominators, we need to find a common denominator. The least common multiple of 3 and 4 is 12.
So, we need to rewrite the fractions with the common denominator of 12:
2/3 = (2/3) * (4/4) = 8/12
1/4 = (1/4) * (3/3) = 3/12
Now, we can add the fractions together:
8/12 + 3/12 = 11/12
Together, Macy and Bill painted 11/12 of the shed.
The statement that is true is: Together they painted almost the entire shed.