CLASS 7 MATHS · RATIONAL NUMBERS

Rational numbers in standard form and their sum

Standard form: denominator positive, numerator and denominator with no common factor. To add, use a common denominator.

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Worked examples

Example 1 · level 1

Write −28/40 in standard form.

Show solution
  1. HCF(28, 40) = 4.
  2. Standard form: −7/10.

Answer: -7/10

Example 2 · level 2

Write −27/−33 in standard form.

Show solution
  1. Move the sign: −27/−33 = 27/33.
  2. HCF(27, 33) = 3.
  3. Standard form: 9/11.

Answer: 9/11

Example 3 · level 3

−4/5 + 8/5 = ? (answer in standard form)

Show solution
  1. −4/5 + 8/5 = −4/5 + 8/5
  2. = 4/5
  3. = 4/5.

Answer: 4/5

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