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Subtraction: Subtraction of Fractions

When subtracting fractions, we need to make sure that the denominators (bottom numbers) are the same. If they are not, we need to find the least common multiple (LCM) of the two denominators and convert both fractions to equivalent fractions with that LCM as their denominator.
Once we have equivalent fractions with the same denominator, we can subtract the numerators (top numbers) and keep the denominator the same.
Here’s an example:
“`
1/4 – 2/5 = ?
“`

First, we need to find the LCM of 4 and 5. We can use the prime factorization method for this:

“`
4 = 2 x 2
5 = 5 x 1
LCM(4, 5) = 2 x 2 x 5 = 20
“`

Next, we convert 1/4 and 2/5 to equivalent fractions with a denominator of 20:

“`
1/4 = 5/20
2/5 = 8/20
“`

Now we can subtract the numerators:

“`
5/20 – 8/20 = -3/20
“`

So the answer is -3/20.

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Subtraction: how to do Subtraction of three-digits

To subtract three-digit numbers, follow these steps:

1. Write down the two numbers you want to subtract, making sure the digits in the ones place line up.
2. Subtract the digit in the ones place of the minuend (the number being subtracted) from the digit in the ones place of the subtrahend (the number doing the subtracting). If the result is negative, add 10 to it.
3. Write down the difference in the ones place under the line.
4. Move on to the tens place and repeat the process, borrowing if necessary. Borrowing means taking 10 from the hundreds place and adding it to the tens place.
5. Continue this process for each digit until you have subtracted all the digits.
6. If there is a remainder after subtracting all the digits, write it as a fraction over the divisor.

Here’s an example:
Subtract 873 – 495

“`
873
– 495
_____
“`

Starting with the ones place, we can see that 3 – 5 = -2. Since the result is negative, we need to borrow from the tens place. We take 10 from the tens place and add it to the ones place, giving us 13. Now we can subtract 5 from 13, which gives us 8. Write down 8 under the line:

“`
873
– 495
_____
8
“`

Next, we move on to the tens place. In the tens place of the minuend, we have 7, while in the tens place of the subtrahend we have 9. We need to borrow again from the hundreds place. This time we take 10 from the hundreds place and add it to the tens place, giving us 17. Now we can subtract 9 from 17, which gives us 8. Write down 8 under the line:

“`
873
– 495
_____
88
“`

Finally, we move on to the hundreds place. In the hundreds place of the minuend, we have 8, while in the hundreds place of the subtrahend we have 4. We can subtract 4 from 8 directly, giving us 4. Write down 4 under the line:

“`
873
– 495
_____
378
“`

So the answer is 378.

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Subtraction: how to do Subtraction of two-digits

To subtract two-digit numbers, follow these steps:

1. Write down the minuend (the number being subtracted from) on the top and the subtrahend (the number being subtracted) on the bottom.
2. Align the digits by place value, so that the ones column is lined up with the ones column of the other number, the tens column with the tens column, etc.
3. Start at the rightmost digit (ones column) and subtract the corresponding digits in each column.
4. If the digit in the minuend is greater than or equal to the digit in the subtrahend, subtract the digits and write the result in the answer space.
5. If the digit in the minuend is less than the digit in the subtrahend, borrow from the next higher place value. Write down the borrowed digit above the current digit, subtract the borrowed amount from the current digit, and continue subtracting as usual.

For example, let’s say we want to subtract 28 from 76:
“`
76
– 28

= 48
“`

In this case, we start by subtracting 8 from 6. Since 8 is greater than 6, we can simply subtract them and write the result (4) in the ones column of the answer.
Next, we move on to the tens column. We need to subtract 2 from 7, but since 7 is not greater than 2, we need to borrow from the hundreds column. We write down a 0 above the 7 and subtract 1 from it, leaving us with 6. Then we can subtract 2 from 6, giving us a final result of 48.
I hope this helps! Let me know if you have any other questions.

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Subtraction: Subtraction of Fractions

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