Speed comes from picking the right trick instead of always finding a common denominator.
Pick the fastest method for the question
• Same numerator? The bigger denominator is the smaller fraction (115<65).
• Same denominator? The bigger numerator is the bigger fraction.
• Just two fractions? Cross-multiply: for ba and dc compare a×d with b×c.
• Several fractions? Turn each into a decimal and compare.
½Fraction ComparatorBars show the real size
0.67
0.75
0.83
Smallest → largest: 2/3 < 3/4 < 5/6
Which is larger, 65 or 115? Same numerator, so smaller denominator wins: .
📝Practice Questions
Q1Which is the largest fraction?
Q2Which fraction is smaller, 4/9 or 4/7?
Q3Arrange in ascending order: 1/2, 2/5, 3/4.
📚
Real exam questions — Fractions
1 question types · 3 solved examples from real SSC papers
Comparing fractions fast is about picking the right trick: same numerator, same denominator, cross-multiply, or decimals.
How to solve this type
Easiest all-purpose method: turn each fraction into a decimal and compare. To compare just two fractions, cross-multiply: for a/b and c/d compare a×d with b×c. Another way is to rewrite all fractions over one common denominator (the LCM) and compare the numerators. Quick shortcuts: with the same numerator the smaller denominator is larger, and with the same denominator the larger numerator is larger. For ordering, compare in pairs, then write the chain from smallest to largest (ascending) or largest to smallest (descending).
Compare 5/11 and 5/6. Put the correct sign (>, <, or =).
ACan't determineB>C<D=
Arrange 4/5, 2/3, 1/11, 2/9 in correct ascending order.
