Question

Jade used Fraction 3 over 4 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 4 over 5 yards of fabric, and why?

No, because the quotient of Fraction 3 over 4 ÷ Fraction 1 and 4 over 5 is 1 and 7 over 20
No, because the quotient of Fraction 1 and 4 over 5 ÷ Fraction 3 over 4 is 1 and 7 over 20
Yes, because the quotient of Fraction 3 over 4 ÷ Fraction 1 and 4 over 5 is 2 and 2 over 5
Yes, because the quotient of Fraction 1 and 4 over 5 ÷ Fraction 3 over 4 is 2 and 2 over 5
Note: I only want HELP!!!!

Answer 1

@pooja195

Answer 2

@pooja195 please HELP me only.

Answer 3

@ShiBuringa help me please!!!

Answer 4

Hm...

Answer 5

@pooja195

Answer 6

What do you think it is?

Answer 7

Let's examine the problem. :D
The amount of fabric used to make ONE scarf is:
\[\frac{ 3 }{ 4 }\]

Answer 8

Don't Know at all not a clue hopeless got noth' in

Answer 9

Oh, and the units are yards. :)

Answer 10

@Michele_Laino

Answer 11

@pooja195

Answer 12

Thanks @Michele_Laino

Answer 13

bye gtg :P

Answer 14

Thanks Guys I'll just do it myself. o.o

Answer 15

hint:
in order to make 2 scarves we need of \(2 \cdot 3/4=3/2\) of yard, and we have
\(\Large 1\frac{4}{5} = 1 + \frac{4}{5} = \frac{9}{5}\) of yard

Answer 16

so, we have to compare these two fractions:
\(3/2\) and \(9/5\)

Answer 17

Alright, I've got it. :D
First, let's examine the problem:
It takes 3/4 yards of fabric to make one scarf. Therefore, to make TWO scarves, it will take twice the amount of fabric. So:
\[2 \times \frac{ 3 }{ 4 } = \frac{ 6 }{ 4 }\]
We can reduce this fraction to:
\[\frac{ 3 }{ 2 }\]
So, it takes at least 3/2 yards of fabric to make TWO scarves. In the problem, Jade wants to use the following amount to make two scarves:
\[1 \frac{ 4 }{ 5}\]
If that number is equal to or greater than 3/2, then Jade will have enough fabric to make two scarves. Converting the mixed number into an improper fraction, we get:
\[\frac{ 9 }{ 5 }\]
Now, we must figure out if this number is equal to or greater than 3/2. We can do that by comparing them. First, we must get these two fractions to have the same denominator. We can multiply 3/2 by 5:
\[\frac{ 3 }{2 } \times 5 = \frac{ 15 }{ 10 }\]
We can also multiply 9/5 by 2:
\[\frac{ 9 }{ 5 } \times 2 = \frac{ 18 }{ 10 }\]
Now that the fractions have the same denominator, we can clearly see which is bigger:
\[\frac{ 15 }{ 10 } < \frac{ 18 }{ 10}\]
18/10, or 9/5, is BIGGER.
The amount of fabric that Jade has will be MORE THAN ENOUGH to make the two scarves. Therefore, YES, she will be able to make them. However, you see that TWO answer choices have ''yes'' in them. They are C and D. The second part of C states:
\[\frac{ 3 }{ 4}\div \frac{ 9 }{ 5 }= 2 \frac{ 2 }{ 5 }\]
The second part of D states:
\[\frac{ 9 }{ 5 } \div \frac{ 3 }{ 4 }= 2 \frac{ 2 }{ 5 }\]
Only one of these statements can be true. Let's try answer choice D. We can use the reciprocal of 3/4 to change this division problem into a multiplication problem:
\[\frac{ 9 }{ 5 } \times \frac{ 4 }{ 3 } = \frac{ 36 }{ 15 }\]
We can reduce this fraction to
\[\frac{ 12 }{ 5 }\]
Turning this into a mixed number gets us:
\[2\frac{ 2 }{ 5 }\]
The statement in answer choice D is correct. Therefore, the correct answer choice is D. If you need more help, please let me know. :D