from 10 meters of wire, 3/4 meter was cut.How many meters of wire were left?Show your answer by using an illustration
You're given a fraction, 3/4-m. It's in your best interest to convert the whole number, 10-m, into a fraction. This can be thought of writing 10/1, and multiplying both the numerator, 10, and the denominator, 1, by 4. Once you have 10-m with the same denominator as 3/4-m, you can then do 4(10/1)-(3/4) and find the new total length of the wire in meters.
Now if you are asking about 75% of the wire being cut off, that is a different story. You then have to think of how many times 4 will go into 10, and then multiply that amount by 3 in order to do the subtraction.
From 4 meters of wire 3/4 meter was cute.
A.how many meters of wire were left?
To illustrate the answer, let's represent the whole length of wire using a line segment. We'll divide the line segment into two parts: the part that was cut and the part that was left.
First, we'll represent the whole length of wire, which is 10 meters:
______________
Next, we'll mark the portion that was cut, which is 3/4 meter. To do this, we'll divide the line segment into four equal parts and shade three parts:
__▓▓▓_▓▓▓▓▓▓▓▓__
Now, we can see that 3/4 meter was cut from the total length.
To find the length of wire that was left, we'll count the unshaded parts, which are four in total. Each part represents 1 meter, so the remaining length of wire is 4 meters:
______ _
Therefore, 4 meters of wire were left.
To find out how many meters of wire are left, we need to subtract the cut length from the total length of the wire.
Given:
Total length of wire = 10 meters
Length of wire cut = 3/4 meter
To illustrate this, let's represent the total length of wire as a line segment, and mark the length of wire that was cut.
First, draw a line segment to represent the total length of wire, which is 10 meters long:
=================== (10 meters)
Next, on this line segment, represent the cut length of 3/4 meter.
Divide the line segment into four equal parts, each representing 2.5 meters (10 meters / 4). Then, mark three of these four parts to represent the cut length of 3/4 meter.
===== ===== ===== (10 meters)
^ ^ ^
The marked segments represent the 3/4 meter of wire that was cut.
Finally, count the number of unmarked segments to determine the remaining length of wire:
1 unmarked segment represents 2.5 meters of wire.
Since there are three unmarked segments, the remaining length of wire is:
3 * 2.5 = 7.5 meters.
Therefore, 7.5 meters of wire are left after cutting 3/4 meter from a total of 10 meters.