✦ Created by R.P. Pandey  |  www.rpp.com.np  ✦  Class 6 · Mathematics · Comparing Fractions  ✦  Created by R.P. Pandey  |  www.rpp.com.np  ✦
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Class 6 · Fractions

Rules to Find Which
Fraction is Greater or Smaller

Four visual rules, each with its own 3D fraction model — type in new numbers to build your own example.

1
Rule One

Same Denominator

If the denominators are the same, compare the numerators.

  • The fraction with the larger numerator is greater.
  • The fraction with the smaller numerator is smaller.
✏️ Create your own fractions
Num A
/
Denom A
vs
Num B
/
Denom B
This rule needs equal denominators, so Denom A and Denom B stay locked together — change either one and both update.
Example
2
Rule Two

Same Numerator

If the numerators are the same, compare the denominators.

  • The fraction with the smaller denominator is greater.
  • The fraction with the larger denominator is smaller.
✏️ Create your own fractions
Num A
/
Denom A
vs
Num B
/
Denom B
This rule needs equal numerators, so Num A and Num B stay locked together — change either one and both update.
Example
3
Rule Three

Different Numerators & Denominators

Use the Cross Multiplication Method.

  1. Multiply the numerator of the first fraction by the denominator of the second.
  2. Multiply the numerator of the second fraction by the denominator of the first.
  3. Compare the two products — the larger product marks the greater fraction.
✏️ Create your own fractions
Num A
/
Denom A
vs
Num B
/
Denom B
Any two fractions work — the cross products decide who wins.
Example
4
Rule Four

Convert to Like Fractions (LCM Method)

  1. Find the LCM of the denominators.
  2. Convert both fractions into equivalent fractions with that denominator.
  3. Compare the numerators.
✏️ Create your own fractions
Num A
/
Denom A
vs
Num B
/
Denom B
The LCM is found automatically and both fractions are converted to it.
Example

Quick Summary

SAME DENOMINATOR
Larger numerator → Greater fraction
SAME NUMERATOR
Smaller denominator → Greater fraction
DIFFERENT N & D
Use Cross Multiplication
MANY FRACTIONS
Convert to Like Fractions (LCM)
★ Practice makes you perfect! ★