Adding and subtracting fractions — answers

for a grown-up2 questions

This is the marking copy and it carries every answer. Her sheet is the other file — same numbering, same margin codes, so you can mark straight down the page.

  1. S24-A102 marks

    Linda had 3 litres of milk. She spilled 1/6 ℓ of milk and used 3/4 ℓ to bake some cookies. How much milk did she have left?

    (A) 11/12 ℓ   (B) 2 1/12 ℓ   (C) 2 1/4 ℓ   (D) 2 5/6 ℓ

    answer (B) — 2 1/12 ℓ

    method Put everything over twelfths: 1/6 = 2/12 and 3/4 = 9/12, so she lost 2/12 + 9/12 = 11/12 ℓ altogether. Taking that from 3 ℓ: 3 − 11/12 = 2 12/12 − 11/12 = 2 1/12 ℓ.

    watch Answering 11/12 — that is how much milk went, not how much is left. Or subtracting only one of the two amounts.

  2. M26-A132 marks

    Shaun ran 3 km on Monday. He ran 2/5 km more on Monday than on Tuesday. How many kilometres did he run on both days?

    (1) 2 3/5 km   (2) 3 3/5 km   (3) 5 3/5 km   (4) 6 2/5 km

    answer (3) — 5 3/5 km

    method Monday = 3 km. He ran 2/5 km MORE on Monday, so Tuesday is the smaller one: 3 − 2/5 = 2 3/5 km. Both days together = 3 + 2 3/5 = 5 3/5 km.

    watch Adding 2/5 to Monday instead of subtracting (giving 6 2/5), or answering 2 3/5 — that is Tuesday alone, and the question asked for BOTH days.