Comparing and Ordering Fractions

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What is a fraction?

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A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

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How do you compare two fractions?

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To compare two fractions, you can find a common denominator, cross-multiply, or convert them to decimals.

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What does it mean for one fraction to be greater than another?

Back

A fraction is greater than another if its value is larger when both fractions are expressed in the same form.

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What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that two or more denominators share.

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How can you convert a fraction to an equivalent fraction?

Back

You can convert a fraction to an equivalent fraction by multiplying or dividing both the numerator and denominator by the same non-zero number.

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What is the process of cross-multiplication?

Back

Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other to compare their values.

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What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 5/4.

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What is a mixed number?

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A mixed number is a whole number combined with a proper fraction, like 1 1/2.

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How do you add fractions with different denominators?

Back

To add fractions with different denominators, find the least common denominator, convert the fractions, and then add the numerators.

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