Simplifying 1 1/3
A mixed number like 1 1/3 represents a whole number and a fraction. To simplify it, we need to convert it into a single fraction.
Here's how:
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Multiply the whole number by the denominator of the fraction: 1 x 3 = 3
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Add the numerator of the fraction to the result: 3 + 1 = 4
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Keep the same denominator: 4/3
Therefore, 1 1/3 simplified as a fraction is 4/3.
Why is this important?
Simplifying fractions makes it easier to work with them in calculations, especially when adding, subtracting, multiplying, or dividing. It also helps to understand the value of the fraction more clearly.
Let's try another example:
Imagine we have 2 3/4. We follow the same steps:
- 2 x 4 = 8
- 8 + 3 = 11
- 11/4
So, 2 3/4 simplified as a fraction is 11/4.