How to Cancel Fractions

Understand what a factor is., Write out the factors of each number., Make a factor rainbow for the top number.For instance, say the fraction is 14/28., Make a factor rainbow for the bottom number.The first two factors for 28 are 1 and 28; connect...

6 Steps 2 min read Medium

Step-by-Step Guide

  1. Step 1: Understand what a factor is.

    A factor is one of the numbers that can be multiplied evenly by another number to get a third number.

    For instance, a factor of 6 is 2 because 2 times 3 equals
    6., The easiest way to write out all the factors is to begin with 1 and the number., The first two factors for 14 are 1 and
    14.

    Place them an inch or so apart on a line.

    Connect them with an arch, so that you know that those two multiply together to make
    14.

    Move inward, making a factor rainbow by making an arch with each set of factors.

    Divide by 2 next, which divides evenly because 2 multiplies by 7 to equal
    14.

    Therefore, the next two factors are 2 and
    7.

    Connect those with an arch.

    However, 3 does not divide into 14 evenly, and neither does 4 or
    5.

    At this point, you've reached the middle of the factor rainbow, so the factors are 1, 2, 7, and
    14. , The next two are 2 and
    14.

    Three does not divide evenly into
    28.

    However, 4 does, so the next factors are 4 and
    7.

    Neither 5 nor 6 divide evenly into 28, so you've reached the end of your factor rainbow for
    28.

    Your factors are 1, 2, 4, 7, 14, and
    28. , The greatest common factor is the largest factor that both numbers share.

    For instance, in the two sets of factors you just found, 14 is shared between both sets, so it is the greatest common factor.
  2. Step 2: Write out the factors of each number.

  3. Step 3: Make a factor rainbow for the top number.For instance

  4. Step 4: say the fraction is 14/28.

  5. Step 5: Make a factor rainbow for the bottom number.The first two factors for 28 are 1 and 28; connect those two with an arch.

  6. Step 6: Find the greatest common factor.

Detailed Guide

A factor is one of the numbers that can be multiplied evenly by another number to get a third number.

For instance, a factor of 6 is 2 because 2 times 3 equals
6., The easiest way to write out all the factors is to begin with 1 and the number., The first two factors for 14 are 1 and
14.

Place them an inch or so apart on a line.

Connect them with an arch, so that you know that those two multiply together to make
14.

Move inward, making a factor rainbow by making an arch with each set of factors.

Divide by 2 next, which divides evenly because 2 multiplies by 7 to equal
14.

Therefore, the next two factors are 2 and
7.

Connect those with an arch.

However, 3 does not divide into 14 evenly, and neither does 4 or
5.

At this point, you've reached the middle of the factor rainbow, so the factors are 1, 2, 7, and
14. , The next two are 2 and
14.

Three does not divide evenly into
28.

However, 4 does, so the next factors are 4 and
7.

Neither 5 nor 6 divide evenly into 28, so you've reached the end of your factor rainbow for
28.

Your factors are 1, 2, 4, 7, 14, and
28. , The greatest common factor is the largest factor that both numbers share.

For instance, in the two sets of factors you just found, 14 is shared between both sets, so it is the greatest common factor.

About the Author

D

Debra Harris

Specializes in breaking down complex creative arts topics into simple steps.

46 articles
View all articles

Rate This Guide

--
Loading...
5
0
4
0
3
0
2
0
1
0

How helpful was this guide? Click to rate: