Name: ___________________

Date:___________________

kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

Grade 6 - Mathematics
3.4 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: 5/7 _____ 1/3?
>
<

Q 2: 17/8 _____ 37/21?
>
<

Q 3: 3/17 _____ 4/5?
<
>

Q 4: 11/15 _____ 29/30?
>
<

Q 5: 1/3 _____ 5/6?
<
>

Q 6: (-5/6) ____ 7/8?
>
<

Q 7: 2/3 _____ 3/4?
>
<

Q 8: 3/8 _____ 3/9?
<
>

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


Subscription to kwizNET Learning System costs less than $1 per month & offers the following benefits:

  • Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
  • Instant scoring of online quizzes
  • Progress tracking and award certificates to keep your student motivated
  • Unlimited practice with auto-generated 'WIZ MATH' quizzes
  • Child-friendly website with no advertisements


© 2003-2007 kwizNET Learning System LLC. All rights reserved. This material may not be reproduced, displayed, modified or distributed without the express prior written permission of the copyright holder. For permission, contact info@kwizNET.com
For unlimited printable worksheets & more, go to http://www.kwizNET.com.