Glenda wrote 1/7 of her paper on Monday, 1/14 of her paper on Tuesday, and 2/28 of her paper on Wednesday. She said she wrote more than half of her paper. Is she correct? why or why not?
( 1 / 7 ) * 4 / 4 = 4 / 28
( 1 / 14 ) * 2 / 2 = 2 / 28
1 / 7 + 1 / 14 + 2 / 28 =
4 / 28 + 2 / 28 + 2 / 28 =
8 / 28 =
4 * 2 / ( 4 * 7 ) =
2 / 7 = 0. 2857 = 28.57 %
She wrote less than half of her paper becouse :
1 / 2 = 50 %
To determine whether Glenda wrote more than half of her paper, we need to calculate the total amount she wrote each day and add them up.
On Monday, Glenda wrote 1/7 of her paper.
On Tuesday, she wrote 1/14 of her paper.
On Wednesday, she wrote 2/28 of her paper.
To find a common denominator for these fractions, we need to find the least common multiple (LCM) of 7, 14, and 28, which is 28.
Now let's convert the fractions to have a denominator of 28:
1/7 is equivalent to (1/7) * (4/4) = 4/28
1/14 is equivalent to (1/14) * (2/2) = 2/28
2/28 remains the same.
Adding them up:
4/28 + 2/28 + 2/28 = 8/28
Simplifying the fraction:
8/28 can be simplified to 2/7 by dividing both the numerator and denominator by 4.
So Glenda wrote 2/7 of her paper, which is less than half, since 2/7 is not greater than 1/2. Therefore, Glenda's statement is incorrect.