ESAT Maths 1 · free worked solution

ESAT Maths 1 π fractions: combine exact terms

Combining exact fractions of π with a common denominator.

Exact fractions and πSpecification M2.11Reviewed 10 August 2026

Answer first

Option B

The correct answer is

5π/45π/4

Treat π as a common factor, then combine the fractional coefficients with denominator 12.

This is original UniGenius practice material from the reviewed Maths 1 bank. It is not an official UAT-UK question, past paper, or recalled question.

The question

Read the setup, then choose the shortest valid route

Evaluate 5π/6π/4+2π/35π/6-π/4+2π/3.

  • Aπ/4π/4
  • B5π/45π/4Answer
  • C7π/67π/6
  • D11π/1211π/12
  • E3π/23π/2

Worked solution

The route in 3 steps

  1. With denominator 12125π/6π/4+2π/3=(10π3π+8π)/125π/6-π/4+2π/3=(10π-3π+8π)/12.

  2. This equals 15π/12=5π/415π/12=5π/4.

  3. Therefore the value is 5π/45π/4.

Next action

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