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### Grade 6 - Mathematics3.4 Comparing Rational Numbers - II

 Method II. Using the arithmetical process The denominators are same: If the denominators are same, the fraction with the smaller numerator is less than the other. Example: Compare -3/8 and -7/8? In the given rational numbers the denominators are same, so we compare the numerators. -7 is less than -3, therefore, -7/8 < -3/8 The numerators are same: If the numerators are same, the fraction with the smaller denominator is greater than the other. Example: Compare 1/2 and 1/3? In the given rational numbers, the numerators are same, so we compare the denominators. i.e., 2 is less than 3, therefore, 1/2 > 1/3 The numerators and denominators are different: If the denominators of two fractions are not same, we should change them into fractions having the same denominators. Example: Compare 3/5 and 4/7? In the given rational numbers, the denominators are not same, so we change them to like denominators. 3/5 = 3/5 x 7/7 = 3x7/5x7 = 21/35. 4/7 = 4/5 x 5/5 = 4x5/7x5 = 20/35. Now the denominators are same and 20 is less than 21. Therefore, 20/35 < 21/35. i.e., 4/7 < 3/5. Directions: Compare the given rational numbers using arithmetical process, and use the sign "<" or ">" to answer. Also write at least 10 examples of your own.
 Q 1: 4/5 _____ 6/11?>< Q 2: 11/15 _____ 29/30?>< Q 3: 2/3 _____ 3/4?>< Q 4: 17/8 _____ 37/21?>< Q 5: (-5/6) ____ 7/8?>< Q 6: 3/8 _____ 3/9?>< Q 7: 3/17 _____ 4/5?<> Q 8: 1/3 _____ 5/6?<> Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!