Positive Rational Numbers are of two types: What are Positive Rational Numbers ?
Positive Rational Numbers having positive integers
Positive Rational Numbers having negative integers
Compare Positive Rational Numbers with positive integers
This is further classified into following:
1) With Same Denominator:
Example 1 : Compare 2/5, 8/5
In this example you can see that both rational numbers have positive integers and also there denominators are same i.e. 5. Comparison of such Rational Numbers is similar to Comparison of Like fraction. You can study this in details at
Comparison of Like Fractions
2) With Same Numerator:
Example 2 : Compare 15/6, 15/8
In this example you can see that both rational numbers have positive integers and also there numerator are same i.e. 15. Comparison of such Rational Numbers is similar to Comparison of Unlike fraction having same numerator. You can study this in details at
Comparison of Unlike Fraction (same numerator)
3) With different Numerator and Denominator :
Example 3 : Compare 1/3, 2/5
In this example you can see that both rational numbers have positive integers and also there numerators and denominator are different. Comparison of such Rational Numbers is similar to Comparison of Unlike fraction having different numerator. You can study this in details at :
Comparison of Unlike Fraction (different numerator)
Compare Positive Rational Numbers with negative integers:
This is further classified into following:
1) With Same Denominator:
Example 4 : Compare -24/-87, -10/-87
In this example you can see that both rational numbers have negative integers and also there denominators are same i.e. (-87). Also, since the denominator of both the given rational number is a negative integer, so we first convert the given rational number into standard form.
Rational Numbers in Standard form
After conversion to standard form, we get: 24/27 & 10/87
Now, you can compare these fractions and the process for comparison of these fractions is similar to Comparison of Like fraction. You can study this in details at :
Comparison of Like Fractions
2) With Same Numerator:
Example 5 : Compare -9/-8, -9/-2
In this example you can see that both rational numbers have negative integers and also there numerator are same i.e. (-9) . Also, since the denominator of both the given rational number is a negative integer, so we first convert the given rational number into standard form
Rational Numbers in Standard form
After conversion to standard form, we get: 9/8, 9/2
Now, you can compare these fractions. The process for comparison of these fractions is similar to Comparison of Unlike fraction having same numerator. You can study this in details at :
Comparison of Unlike Fraction (same numerator)
3) With different Numerator and Denominator :
Example 6 : Compare -7/-6, -1/-15
In this example you can see that both rational numbers have negative integers and also there numerators and denominator are different. Also, since the denominator of both the given rational number is a negative integer, so we first convert the given rational number into standard form
Rational Numbers in Standard form
After conversion to standard form, we get: 7/6, 1/15
Now, you can compare these fractions. The process for comparison of these fractions is similar to Comparison of Unlike fraction having different numerator. You can study this in details at
Comparison of Unlike Fraction (different numerator)
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