Comparison of Improper Fractions Quiz for students

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Improper fractions are those variants of the fraction which have numerator greater than the denominator. In this quiz, the child has to compare the given set of improper fractions and answer the relevant relationship expression between them. A relationship between any two numbers could be one of the three which are greater than, equals and less than. Here, the child has to utilize the concepts of improper fractions he or she has learned so far and made a proper judgment of the relationship symbol that has to come between the two fractions. A good practice is required to get a grip.

What are improper fractions and how to compare them?

An improper fraction is a fraction where the numerator (the top number) is larger than the denominator (the bottom number). For example, 7/4 is an improper fraction because 7 is greater than 4.

Comparing improper fractions is just like comparing any other fractions. To compare two improper fractions, we compare the numerators (top numbers) first. If the numerators are the same, we then compare the denominators (bottom numbers). If the numerator of one fraction is greater than the numerator of the other fraction, then that fraction is greater. If the numerators are the same, and the denominator of one fraction is greater than the denominator of the other fraction, then the fraction with the smaller denominator is greater.

Here’s an example: Suppose we want to compare the improper fractions 7/4 and 6/3

  1. Compare the numerators: 7 is greater than 6, so 7/4 is greater than 6/3

Another way to compare improper fractions is to convert them to mixed numbers. A mixed number is a combination of a whole number and a fraction. To convert an improper fraction to a mixed number, we use the following steps:

  1. Divide the numerator by the denominator
  2. Write the whole number part of the result in front of the fraction.
  3. Write the remainder as the numerator over the original denominator

For example, to convert 7/4 to a mixed number, we divide 7 by 4 to get 1 with a remainder of 3. So 7/4 can be written as 1 3/4 which is a mixed number.

Once the improper fractions are in mixed number form, it’s easy to compare them just like we do with any whole number.

It’s important to note that not all the mixed numbers representation of improper fractions are exact. And should be rounded as appropriate.

Practicing with a few examples and also by showing them on a number line will help kids better understand and make comparisons between improper fractions easier. It’s also a good idea to review the concept of simplifying fractions, as kids may need to simplify fractions in order to compare them.

It’s also important to remind kids that fractions and mixed numbers are also used to represent quantities and values, so comparing them will give them an understanding of greater and smaller amounts, that could be applied in everyday life as well.