How many 2/5 foot piece can Tara cut from 4 4/5 feet of rope? Show your work.
Using the information in The first part, interpret the meaning of the quotient in terms of the two fractions given.
Part A: 12 because 4 4/5 divided by 2/5 is 12.
12
12
easy math
You only really need to do the last part when you figure out the first part because I already did the first part.
To find out how many 2/5 foot pieces Tara can cut from 4 4/5 feet of rope, we can use division.
First, let's convert 4 4/5 feet into an improper fraction.
To convert the mixed number 4 4/5 to an improper fraction, we multiply the whole number (4) by the denominator of the fraction (5) and then add the numerator to get the new numerator. The denominator remains the same.
4 * 5 + 4 = 20 + 4 = 24
So, 4 4/5 can be written as the improper fraction 24/5.
Now we can divide the length of the rope (24/5) by the length of each piece (2/5) to find the number of 2/5 foot pieces Tara can cut.
Dividing fractions involves multiplying the numerator of the first fraction by the reciprocal of the second fraction. So, we can write the division as:
(24/5) ÷ (2/5) = (24/5) * (5/2) = (24 * 5) / (5 * 2) = 120/10
Now, we simplify the fraction 120/10. Both the numerator (120) and the denominator (10) can be divided evenly by 10:
120 ÷ 10 = 12
10 ÷ 10 = 1
So, the simplified fraction is 12/1, which is equal to 12.
Therefore, Tara can cut 12 pieces that are 2/5 foot long from the 4 4/5 feet of rope.
Now, let's interpret the meaning of the quotient (12) in terms of the two fractions given (2/5 and 4 4/5).
The quotient (12) represents the number of equal-sized pieces (2/5 foot) that can be obtained from a given length (4 4/5 feet) of rope. It suggests that Tara can cut the 4 4/5 feet of rope into 12 equal segments, with each segment measuring 2/5 foot.