Sandra needs 2 5/8 yards of rope she needs for her class project. She has 5 pieces of rope that are each 3/8 yards long. Does Sandra have enough rope. If not explain why.
My son wrote no she doesn’t she needs 18 more yards of rope. Can you explain this to him if this is right or wrong because I don’t know The steps of These fraction questions and I don’t understand fractions so he is struggling.
3/8 + 3/8 + 3/8 + 3/8 + 3/8 = 15/8
2 5/8 = 21/8
(2 x 8 + 5 = 21)
21/8 - 15/8 = 6/8
To determine whether Sandra has enough rope for her class project, we need to compare the total length of the rope she has with the total length she needs.
First, let's find the total length of the rope she has. Sandra has 5 pieces of rope, and each piece is 3/8 yards long. To find the total length, we need to multiply the number of pieces by the length of each piece:
5 * 3/8 = 15/8 yards.
Now, we need to compare this total with the length Sandra needs, which is 2 5/8 yards. We can convert the mixed number to an improper fraction:
2 5/8 = (2 * 8 + 5)/8 = 21/8 yards.
Comparing the two lengths:
15/8 yards (the number of pieces Sandra has) < 21/8 yards (the length she needs).
Since 15/8 yards is less than 21/8 yards, Sandra does not have enough rope for her class project. This means your son is correct in saying that she needs more rope.
To determine how much more rope she needs, we can subtract the length Sandra has from the length she needs:
21/8 - 15/8 = 6/8 yards.
Therefore, Sandra needs an additional 6/8 yards of rope. We can simplify this fraction by dividing the numerator and denominator by their greatest common divisor, which is 2:
6/8 = (6/2)/(8/2) = 3/4 yards.
So, Sandra needs an extra 3/4 yards of rope to complete her class project.