Converting (Fractions, Decimals and Percentages)

Converting between decimals and fractions

To change a decimal to a fraction: use the place value of the last digit

For example               





To change a fraction to a decimal: divide the top by the bottom
For example                





Converting between percentages and fractions or decimals

To write a % as a fraction or decimal: divide by 100
For example  
  

To write a decimal or fraction as a %: multiply by 100
For example     

     


Exercise
1   Write these decimals as fractions:


0.3   = ………          0.5   = ………        0.6   = ………       0.02   = ………


0.05 = ………         0.25 = ………        0.36 = ………        0.125 = ………



2   Write these fractions as decimals:












3   Write these percentages as decimals:


4% = ………               50% = ………             25% =  ………               80% =  ………


9% =  ………              14% = ………            67% = ………               12.5% =  ………



4   Write these percentages as fractions:


20% = ………            75% = ………             5% = ………                 30% = ………



40% = ………            15% = ………             24% = ………              35% = ………



5   Write these decimals as percentages:


0.25 = ………            0.5   = ………            0.7 = ………                0.07   = ………



0.45 = ………            0.09 = ………            0.4 = ………                 0.375 = ………



6   Write these fractions as percentages:



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