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Equivalent Fractions Simplified
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Equivalent Fractions Simplified
For each fraction, give an equivalent fraction or simplify it as instructed. Show working where asked.
Recognising Equivalent Fractions
1.Which fraction has the same value as 3/5?
- 6/15
- 9/15
- 9/20
- 12/25
2.Complete both equivalent fractions: 4/7 = __/21 = 20/___.
3.Select every fraction equivalent to 5/8.
- 10/16
- 15/24
- 20/36
- 25/40
4.Use the fraction bars to explain why 2/3 and 4/6 are equivalent.
5.Complete the pattern with fractions equivalent to 3/4: 3/4 = 6/8 = __/12 = 15/___.
Simplifying Fractions
6.Simplify 14/21 to its lowest terms.
7.Simplify 28/42 to its lowest terms.
8.What is the highest common factor of 18 and 30?
- 3
- 6
- 9
- 12
9.Match each fraction to its simplest form.
- 16/24
- 21/35
- 18/27
- 20/35
- 3/5
- 2/3
- 2/3
- 4/7
10.Show how to simplify 32/48 to its lowest terms. Include the common factor you divide by.
Mixed Numbers and Fraction Problems
11.Write 13/5 as a mixed number in simplest form.
12.Convert 17/6 to a mixed number in simplest form.
13.A fruit loaf is cut into 15 equal slices. Manaia eats 6 slices. Write the fraction she ate in simplest form.
14.A smoothie recipe uses 8/12 of a cup of yoghurt. Express this amount in simplest form.
15.Write three different fractions equivalent to 3/5, with both the numerator and denominator greater than 10.
16.Explain why multiplying the numerator and denominator of a fraction by the same non-zero number keeps its value unchanged.
3 printable pages
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