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 Depdendent Variable

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

December 10th

December 10th

# 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.