Comparing fractions 2

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Learning about fractions is one of the basic and important topics in math. A fraction is number written in “p/q” form. Where ‘p’ is the numerator and 'q' is the denominator of the fraction. The denominator of a fraction cannot be equal to zero i.e. q not equal to zero. Different mathematical operations such as addition, subtraction, multiplication and division can be used to compare any two fraction numbers. While comparing fractions we can check if the fractions are less than, greater than or equivalent to each other.

Example 1: Compare the two fractions 7/10 and 9/10. Which of them is a   smaller fraction?

Solution: Given are two fractions 7/10 and 9/10. Here both the fractions have the common denominator 10.
Since the denominator is the same compare the numerators of the two fractions.
The fraction with the smaller numerator is the smaller fraction.
This gives 7 < 10. Therefore, 7/10 < 9/10.

Hence, 7/10 is the smaller fraction.
Question: Multiple choice question (Pick the correct option.)
Compare the fractions according to the shaded region in the circle below?
Which fraction is greater?
                                               3/6                                4/6

a)    3/6                   b) 4/6              c) They are equal.              d) None of these.
Correct answer: option b.
 Explanation: Are two fractions 3/6 and 4/6.
In the fraction 3/6, 3 out of 6 regions are shaded.
 In the fraction 4/6, 4 out of 6 regions are shaded.
Since the denominators have the same value the fraction with the greater numerator is greater. Hence 4/6 is greater.

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