[ non-recurring decimal to fraction ][ recurring decimal to fraction ]

 

 

 

 

 

 

 

Terminating decimals All terminating decimals end with one number.

examples: 0.123, 5.61219, 0.00187

 

They are rational numbers. Remember the definition of a rational number is one that can be expressed as a fraction.

Recurring Decimals - These decimals have number patterns that repeat themselves.

 

Learn GCSE Maths - use the GCSE Maths Forum to ask questions

 

Converting a fraction to a decimal - Simply divide the numerator by the denominator.

 

 

Converting a non-recurring decimal to a fraction - First, write out the decimal as a fraction of powers of ten eg 10 ths, 100 ths or 1000 ths. Then just cancel the fraction to its smallest factors.

 

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Converting a recurring decimal to a fraction

• Multiply the recurring decimal by 10 if 1 decimal place(100 for 2 d.p., 1000 for 3 d.p. etc.).
• Subtract the recurring decimal.
• Rearrange the equation to make the recurring decimal the subject.

example #1 - make 0.55555... into a fraction

 

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example #2 - make 0.75757575... into a fraction

 

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Why not try out the new GCSE Maths interactive pages?

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example #3 - make 0.692692692... into a fraction

GCSE Maths revision from GCSE Maths Tutor

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