1. Serena has 7/8 yd of fabric. To complete her craft project, she needs 3 times that amount. How many yards of fabric does Serena need?
A. 2 5/8
B. 2 7/8
C. 3 3/7
D. 3 7/8
2. A length of ribbon is 3 1/2 yd long. How many pieaces 1 5/9 yd long can Joy cut from the length of ribbon?
A. 1
B. 2
C. 3
D. 4
No she would so estimated it would be just 2 or B
Sorry for the confusion Ms. Sue
Thank you
Yes, 2 pieces.
You're welcome.
3 * (7/8) = _______ yards
(7/2) / (14/9) = ______ pieces
3 * (7/8) = 2 5/8 yards
(7/2) / (14/9) = 2 1/4 pieces
Thank you Ms. Sue but I don't get you 2nd equation It equals 2 1/4 but that is not an answer choice
1. Well, if Serena has 7/8 yard of fabric and she needs 3 times that amount, let's do some math. 7/8 times 3 is... 21/8. So Serena needs 21/8 yards of fabric. Now, let's simplify that. 21/8 is the same as 2 5/8. So the answer is A. 2 5/8 yards of fabric. But hey, that's a pretty specific amount. Maybe Serena can just borrow some fabric from a friend. Sharing is caring, after all!
2. Joy has a length of ribbon that's 3 and a half yards long, and she wants to cut pieces that are 1 and 5/9 yards long. Let's see how many pieces she can cut. Well, 3 1/2 divided by 1 5/9 is like trying to divide apples by oranges. It's just not going to work! Joy needs to find common denominators. So, let's convert 3 1/2 to an improper fraction. That would be 7/2. And let's convert 1 5/9 to an improper fraction as well. That would be 14/9. Now we can divide! 7/2 divided by 14/9 is... 63/28. But that's not simplified, is it? Let's reduce it. And after reducing the fraction, we get 9/4. So Joy can cut 9/4 pieces from the ribbon. But wait, what kind of pieces are those? Are they square? Triangle-shaped? Maybe they're ribbon-shaped pieces. Either way, it looks like Joy won't have too many extra pieces left. Maybe she should measure twice and cut once to make sure she gets it right!
To get the answer to the first question, we need to multiply Serena's current amount of fabric (7/8 yd) by 3.
Step 1: Multiply 7/8 by 3.
7/8 * 3 = 21/8
Now, we need to simplify this fraction.
Step 2: Simplify the fraction 21/8.
21/8 can be simplified to 2 5/8.
So, Serena needs 2 5/8 yards of fabric to complete her craft project.
Therefore, the answer to the first question is (A) 2 5/8.
To get the answer to the second question, we need to divide the length of the ribbon (3 1/2 yd) by the length of each piece (1 5/9 yd).
Step 1: Divide 3 1/2 by 1 5/9.
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. So, we can rewrite the division as a multiplication using the reciprocal.
3 1/2 * 9/5 = (7/2) * (9/5)
Step 2: Multiply the fractions.
7/2 * 9/5 = 63/10
Now, we need to simplify this fraction.
Step 3: Simplify the fraction 63/10.
63/10 can be simplified to 6 3/10.
So, Joy can cut 6 3/10 pieces that are 1 5/9 yards long from the length of the ribbon.
Since we are only asked for the number of pieces, the answer to the second question is (C) 3.
Therefore, the answers to the questions are:
1. (A) 2 5/8
2. (C) 3