Calculator Skills

Working with Fractions on Your Calculator

A scientific calculator keeps answers as exact fractions and surds, which matters when SPM wants an exact answer rather than a rounded decimal.

Keep exact answers exact

When a question asks for an exact value, leave it as a fraction or surd rather than converting to a decimal. Most scientific calculators toggle between exact and decimal forms with a single key, so you can check both without losing accuracy.

A worked keystroke sequence for adding fractions

  1. To work out 2/3 + 1/4, press the fraction key (the stacked a-over-b key).
  2. Type 2 for the numerator, move down with the cursor, and type 3 for the denominator.
  3. Press +, then the fraction key again, and enter 1 over 4 the same way.
  4. Press = . The calculator shows 11/12, already in lowest terms.
  5. The keypad kept the exact fraction throughout, so you never rounded 0.9166… by hand.

Check the fraction against its decimal

After you get an exact fraction, press the fraction-decimal toggle to see its decimal value, then estimate whether that decimal is sensible. Here 11/12 shows as about 0.9167, which sits just under 1, exactly what you would expect from adding two proper fractions close to a whole.

If the decimal looks wrong, you probably mistyped a numerator or denominator.

Source:SPM: Format Pentaksiran mulai 2021, Matematik (1449)

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Frequently asked questions

The question wants an exact answer, should I use decimals or fractions?

Give the exact fraction. Numbers like 1/3 or 2/7 never end as decimals, so writing 0.33 or 0.29 introduces rounding error and can cost accuracy marks.

Keep the calculator in fraction display, and only convert to a decimal if the question specifically asks for one.

My mixed number keeps turning into a strange answer, why?

You are probably entering it as a whole number times a fraction. Use the dedicated mixed-number key so 2¾ is read as two and three-quarters, not 2 × 3/4.

Without that key the calculator treats the parts as a multiplication and the value comes out wrong.

Can the calculator keep surds like √2 exact too?

Many scientific calculators do keep surds exact when the mode allows it, so √8 may display as 2√2 rather than 2.828. This is useful when a question asks for the answer in surd form.

If it shows a decimal instead, check that the calculator is set to exact rather than decimal output.

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