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Use equivalent fractions and common number lines to compare and justify fraction order.
Free examples and worked answers. No account needed.
Practise the method.
Use equivalent fractions and common number lines to compare and justify fraction order.
Use equivalent fractions and common number lines to compare and justify fraction order.
Example 1
Which fraction is greater: 125 or 127?
Fractions on one number lineShow worked answer
Answer: 127
- Write both fractions with denominator 12:125 and 127.
- 7>5, so 127 is greater.
Example 2
Which list orders 1,83 and 85 from least to greatest?
Fractions on one number lineShow worked answer
Answer: 83,85,1
- Use equivalent fractions with denominator 8:83,85,88.
- Their numerators increase 3<5<8, so the order is 83,85,1.
Example 3
Why is 32 equal to 128?
Fractions on one number lineShow worked answer
Answer: Both numerator and denominator are multiplied by 4.
- Each third is divided into four equal parts, giving twelfths.
- 32=3×42×4=128.
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