Subtraction with renaming
Am very confused. Am trying to teach my little brother but am getting everything wrong. I have the right answer but the work does not add up to that.
6 - 3 2/5
I got 3 2/5 but the answer is 2 3/5 I don’t understand can you explain what I have to do so I can explain it to him in the most simpliest way.
5 1/4 - 2 3/4
I got 3 2/4 but the answer is 2 2/4 ?
I did 5-2 =3 then 3_1= 2/4
9 3/8 - 8 7/8
I got 1 4/8 but the answer is 4/8
12 3/10 - 7 7/10
I got 5 4/10 but the answer is 4 6/10
I don’t understand I also have the lesson that was given but I still don’t understand it
1. First subtract the integer portion. We have 6-3=3. Next, subtract the fraction. 3-2/5 = 2 3/5
2. Do the same thing. 5 - 2 = 3. 1/4 - 3/4 = -2/4. Now add the two. 3+-2/4=3-2/4=2 2/4 or 2 1/2
3. 9 - 8 = 1. 3/8 - 7/8 = -4/8. Now we add the two. 1+-4/8=1-4/8=4/8 or 1/2
4. 12 - 7 = 5. 3/10-7/10 = -4/10. Add the two: 5+-4/10=5-4/10=4 6/10 or 4 3/5
6 - 3 2/5
First, change 6 to 5 5/5. Do you see how they're the same?
https://www.mathsisfun.com/fractions_subtraction.html
5 5/5 - 3 2/5 = 2 3/5
Now try the other problems.
6 - 3 2/5
we need to borrow 5/5 from the 6 You can not subtract 2/5 from nothing in this grade
5 5//5 - 3 2/5
2 3/5
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I suppose in a higher grade you could say
6 - 3 2/5 = 3 -2/5
that is 2 3/5
but no one does it that waay
To subtract fractions with renaming, you need to follow a specific process. Here is how you can explain it to your little brother:
1. Start by writing down the whole numbers and the fractions separately.
Example: 6 - 3 2/5
2. Subtract the whole numbers first.
6 - 3 = 3
3. Next, deal with the fractions. If the fraction in the second number is larger than the fraction in the first, you need to rename the first fraction.
4. To rename a fraction, you borrow one whole from the whole number and convert it into the appropriate fraction.
Example: In 6 - 3 2/5, you would borrow 1 whole from the 6 and convert it to 5/5, which is equal to 1.
5. Add the borrowed fraction to the fraction in the first number.
Example: 2/5 + 5/5 = 7/5
6. Subtract the fractions.
7/5 - 2/5 = 5/5
7. Simplify the fraction if needed.
5/5 simplifies to 1.
8. Combine the whole number and the simplified fraction.
3 + 1 = 4
So the answer to 6 - 3 2/5 is indeed 4.
Now let's look at the other examples:
1. 5 1/4 - 2 3/4:
- Subtract the whole numbers: 5 - 2 = 3
- Since the fraction in the second number is larger, rename the first fraction:
1/4 + 4/4 = 5/4
- Subtract the fractions: 5/4 - 3/4 = 2/4
- Simplify the fraction: 2/4 simplifies to 1/2
- Combine the whole number and the simplified fraction: 3 + 1/2 = 3 1/2
2. 9 3/8 - 8 7/8:
- Subtract the whole numbers: 9 - 8 = 1
- Since the fraction in the second number is larger, rename the first fraction:
3/8 + 8/8 = 11/8
- Subtract the fractions: 11/8 - 7/8 = 4/8
- Simplify the fraction: 4/8 simplifies to 1/2
- Combine the whole number and the simplified fraction: 1 + 1/2 = 1 1/2
3. 12 3/10 - 7 7/10:
- Subtract the whole numbers: 12 - 7 = 5
- Since the fraction in the second number is larger, rename the first fraction:
3/10 + 10/10 = 13/10
- Subtract the fractions: 13/10 - 7/10 = 6/10
- Simplify the fraction: 6/10 simplifies to 3/5
- Combine the whole number and the simplified fraction: 5 + 3/5 = 5 3/5
Remember to carefully follow these steps to get the correct answers when subtracting fractions with renaming.