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023-P3-1

Find Fractions that Satisfy Conditions

The same number is added to both the denominator and numerator of 1 ,
9
1
and an equivalent fraction of 3 is made. What is the number that is

added to the denominator and numerator?

Step 1. The table below shows equivalent fractions of 1 . Complete the table.
3

123456
3 6 9 12 15 18

Difference between 2 4
Denominator &
Numerator

Step 2. Since the same number is added to the denominator and numerator of

1 , the difference is fixed to 8. From Step 1, find and write the fraction
9

where the difference between the denominator and numerator is 8.

Step 3. Let’s say the fraction found in Step 2 is A. What number must be added

to the denominator and numerator so that 1 equals A?
9