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How do I solve a whole number and a fraction?

User Joemon
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2 Answers

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13 votes

Answer:

To solve a problem involving a whole number and a fraction, you can first convert the whole number to a fraction by writing it as a fraction with a denominator of 1. For example, if the whole number is 4, you can write it as the fraction 4/1.

Then, you can add or subtract the fractions as you would normally, making sure to find a common denominator if necessary. For example, suppose you want to add the whole number 4 and the fraction 3/5. You can first write 4 as the fraction 4/1, giving you:

4/1 + 3/5

To add these fractions, you need to find a common denominator. A common denominator for 1 and 5 is 5, so you can rewrite the fractions with denominators of 5:

4/1 = 20/5

3/5 = 3/5

Now you can add the fractions:

20/5 + 3/5 = 23/5

So the solution to the problem is 23/5.

If you need to multiply or divide the whole number and fraction, you can treat the whole number as a fraction with a denominator of 1 and then perform the multiplication or division as you would normally with fractions.

Explanation:

User Mbmast
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17 votes
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This question is subject to vary, depending on how it is we would like to solve the problem.

In multiplication, we simply solve by multiplying the whole number by the numerator of the given fraction. We can take the expression 6 • 2/3 for example:

The numerator is 2, so solving would result in (6 • 2)/3 as a fraction. This equals out to 12/3, which can be reduced to 4; this means 6 • 2/3 = 4.

Division, however, is a bit different. When dividing a whole number by a fraction, we use the Skip, Flip, Multiply method. Again, we can use 6 / 2/3 as an example.

1. Skip

Since our first divisor is 6, it remains the same.

2. Flip

Our second divisor is 2/3. Since it is a fraction, we can flip it so it becomes 3/2.

3. Multiply

With our new expression, we can now multiply what we have to find our answer!

6 • 3/2 = 18/2, which reduces to 9.

Now we know that 6 / 2/3 = 9. One thing to consider when dividing a whole number by a fraction is that the whole number is the fraction of the product. In this case, we would say 6 is 2/3 of 9, and this helps us to remember that the quotient always will be larger than what we began with, whereas in multiplication, the product is smaller than what we began with.
User RuntimeError
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