This Bankers Tutorial article is independent educational material. Examples are illustrative, and changing rules or examination requirements should be checked at the official source.
01 / UNDERSTANDING
Understand the idea
Benchmarks reduce mental load because they provide a scale check. A result claimed to be three eighths should remain below one half, whether expressed as a decimal, percentage or part of a budget.
02 / UNDERSTANDING
The concept in context
A fraction represents a part relative to its denominator. Dividing numerator by denominator produces the decimal, and multiplying that decimal by 100 produces the percentage. Familiar benchmarks such as one half, one quarter and one eighth help check arithmetic, but a fraction becomes an actual quantity only when its base is known.
Comparisons may use common denominators or cross-products when denominators are positive. Avoid rounding so early that close fractions become indistinguishable. Negative values require particular care because intuition based only on numerator size can fail. For ordinary positive share questions, estimate the fraction’s position between zero and one before computing the exact amount.
03 / UNDERSTANDING
A worked learning case
Original educational case. An original practice plan assigns three eighths of 160 questions to arithmetic. One eighth is 20, so three eighths is 60. The fraction equals 0.375 or 37.5%. Writing the base of 160 prevents the learner from treating 37.5% as a fixed number of questions independent of the total workload.
ORIGINAL EDUCATIONAL PRACTICE
Try it before you check.
Original practice: What percentage is 3/8?
Show the answer and reasoning
37.5%.
Divide 3 by 8 to obtain 0.375, then multiply by 100 to express it as a percentage. Alternatively, one eighth is 12.5%, so three eighths is 37.5%. The result is below one half, or 50%, which is a quick benchmark confirming that the decimal has been placed sensibly.
Two traps to watch for.
- Treating a fraction’s percentage as an absolute quantity.
- Rounding close fractions before deciding which is larger.
YOUR TOPIC-SPECIFIC LEARNING MAP
Turn understanding into practice
Recall halves, quarters and eighths.
Convert one fraction three ways.
Check each amount against its named base.
Explain the idea, apply it to a new situation, then check what changed in your reasoning.
BANKERS TUTORIAL · SOURCE NOTES
Keep the source alongside your notes.
Official links provide subject context and authoritative reference material. This guide’s explanation, scenario and question are original Bankers Tutorial learning content.
- www.ibps.in https://www.ibps.in/
- www.ibps.in https://www.ibps.in/index.php/faq/
For IBPS & RRB preparation, check the current official notice before relying on changing dates, rules or examination requirements.
