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Simplifying Fractions Challenge

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Simplifying Fractions Challenge

Reduce fractions by dividing the numerator and denominator by their greatest common factor. Show your working where space is provided.

Reduce to simplest form

1.Reduce 42/63 to simplest form.

2.Write 108/180 in its lowest terms.

3.Simplify 154/210.

4.Reduce 225/300 as far as possible.

Improper fractions and mixed numbers

5.Convert 53/8 to a mixed number.

6.Change 4 2/7 into an improper fraction.

7.Simplify 90/36, then write the result as a mixed number.

8.Which improper fraction is equal to 3 4/9?

27/9
31/9
34/9
13/9

Fractions in context

9.At a campsite, Ari has used 18/24 of a bottle of water. What fraction of the bottle has she used, written in simplest form?

10.A chocolate bar is divided into 12 equal pieces. The fraction bar shows how many pieces remain. What fraction of the bar remains? Give your answer in simplest form.

11.Mei packs 15/25 of the tent pegs into one bag. Reduce this fraction to show what part of the pegs are in that bag.

12.A trail map is divided into 10 equal sections. The fraction bar shows the sections Mei and Levi still have to walk. What fraction of the trail is still to walk? Give the answer in simplest form.