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Ratio tables

Learn how to fill out tables of equivalent ratios.
A ratio table gives a bunch of equivalent ratios.
Let's look at an example where we'll build a ratio table.
Ben drinks start color #11accd, 1, end color #11accd glass of milk for every start color #e07d10, 2, end color #e07d10 cookies that he eats:
We can use this ratio to begin a ratio table:
Glasses of milkCookies
start color #11accd, 1, end color #11accdstart color #e07d10, 2, end color #e07d10
If Ben drinks start color #11accd, 2, end color #11accd glasses of milk, then he eats start color #e07d10, 4, end color #e07d10 cookies:
Let's use this to continue the ratio table:
Glasses of milkCookies
start color #11accd, 1, end color #11accdstart color #e07d10, 2, end color #e07d10
start color #11accd, 2, end color #11accdstart color #e07d10, 4, end color #e07d10
Notice that both of the ratios in the ratio table are equivalent:
start fraction, start color #11accd, 1, end color #11accd, divided by, start color #e07d10, 2, end color #e07d10, end fraction, equals, start fraction, start color #11accd, 2, end color #11accd, divided by, start color #e07d10, 4, end color #e07d10, end fraction
If Ben drinks start color #11accd, 4, end color #11accd glasses of milk, then he eats start color #e07d10, 8, end color #e07d10 cookies:
Let's use this to continue the ratio table:
Glasses of milkCookies
start color #11accd, 1, end color #11accdstart color #e07d10, 2, end color #e07d10
start color #11accd, 2, end color #11accdstart color #e07d10, 4, end color #e07d10
start color #11accd, 4, end color #11accdstart color #e07d10, 8, end color #e07d10
Notice that all of the ratios in the ratio table are equivalent:
start fraction, start color #11accd, 1, end color #11accd, divided by, start color #e07d10, 2, end color #e07d10, end fraction, equals, start fraction, start color #11accd, 2, end color #11accd, divided by, start color #e07d10, 4, end color #e07d10, end fraction, equals, start fraction, start color #11accd, 4, end color #11accd, divided by, start color #e07d10, 8, end color #e07d10, end fraction

Let's practice!

Problem set 1:

Problem 1A
Martha needs 28 strawberries for every 4 smoothies she makes.
Complete the table using equivalent ratios.
StrawberriesSmoothies
284
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
3
70
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text

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