Recurring Decimals Into Fractions

Question 0

Step 2

Answer 0

Subtract the original number (r) from the new one i.e.

1000r - r = giving 999r = a whole number

Question 1

Step 1

Answer 1

1) find the length of the repeating sequence and multiply by 10, 100 etc to move it all up past the decimal point by one full repeated lump i.e. 0.234234 x 1000 = 234.234..

Question 2

Step 3

Answer 2

Then divide to leave r = whole number/999 and cancel if possible

Question 3

Always check if the fraction can ….. Before simplifying it

Answer 3

Cancel down