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August 1st









August 1st

Reducing Fractions to Lowest Terms

METHOD 1 – Prime Factoring

Reduce 36/60 to lowest terms .

Factor the numerator and denominator into prime factors.

• Cancel common factors in numerator and denominator, and multiply the remaining factors.

METHOD 2 – Divisibility

Reduce 36/60 to lowest terms.

• Using the divisibility hints on sheet 2, check for the even divisibility of prime numbers into both
the numerator and denominator. Since 2 divides into both 36 & 60 evenly:

• Continue using the divisibility rules . Since 2 divides into both 18 & 30 evenly:

• Finally, since 3 divides into both 9 & 15 evenly:

There are no remaining common prime factors, so the final answer is .

HINTS FOR DIVISIBILITY OF SOME COMMON PRIME FACTORS

    Example
Check the last digit If even (0,2,4,6,8) Then number is
divisible by 2
76 6 is even
Add all digits If the sum is divisible by 3 The number is
divisible by 3
123 1+2+3=6
6 is divisible by 3
Is the last digit 0 or 5? The number is divisible by 5 415 Last digit is 5
Are all of the digits the
same?
If there is an even number of digits, the
number is divisible by 11.
66 All digits are the
same, and there
are an even
number of digits.
Add up every other digit. If the sums are the same, the number is
divisible by 11.
253 2+3=5
5=5

Now, try the practice problems below.

PRACTICE PROBLEMS: Reduce the following fractions to lowest terms.

Answers

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