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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
  • Current
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

Want to join the conversation?

  • marcimus orange style avatar for user Faith Waters
    Do we use ratios in the real world an d if not why are we learning this?
    (183 votes)
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    • piceratops ultimate style avatar for user Danny
      Ratios are hidden all over the real world. Whether you're measuring the speed of light, the rate of a chemical reaction, or the time it takes for a racecar to reach top speed, ratios are an integral part of quantifying real-life scenarios.
      (142 votes)
  • starky sapling style avatar for user Mak Kochendorfer
    Can something that is infinite be a ratio?
    (61 votes)
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    • starky tree style avatar for user southside joji
      Good question! Just to make it clear, value of infinity/infinity can be any number. The ratio can be 0, any finite value or infinity itself. On the other hand, we can say if we going to measure it quantitively, infinity at the numerator may not be equal to infinity at the denominator. So, we can not get any particular value from the ratio.
      (43 votes)
  • blobby green style avatar for user Peterson, Chase
    Can negative numbers be ratios?
    (38 votes)
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  • duskpin ultimate style avatar for user Rose Roberts
    For the last problem would dividing 32.5 by 3 to get 10.83 then multiplying 10.83 by 6 and 12 be wrong? Because you don't get 65 you get 64.98 and 129.96.
    (18 votes)
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  • aqualine ultimate style avatar for user Sudharshinis:)
    What is inverse proportion
    (14 votes)
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    • primosaur seed style avatar for user Ian Pulizzotto
      Great question for sixth grade!

      Two nonzero quantities, x and y, are inversely proportional to each other if and only if their product xy is constant. This means that when x is multiplied by a nonzero factor, y is divided by that factor (for example, when x is doubled, y is halved).

      An example from real life involves speed, time, and distance. If the distance is held constant, then speed and time are inversely proportional to each other. For example, if you double your walking speed, then you would take half the amount of time to walk to school.

      Inverse proportionality relationships also occur in chemistry and physics. If the temperature of an ideal gas is held constant, then pressure and volume are inversely proportional to each other (Boyle’s Law). If the voltage of an electric circuit is held constant, then the circuit’s current and resistance are inversely proportional to each other (Ohm’s Law).

      Have a blessed, wonderful day!
      (24 votes)
  • aqualine ultimate style avatar for user MELCOLM
    how often will I see a ratio in the real world?
    (12 votes)
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    • mr pink green style avatar for user David Severin
      All the time, you drive in ratios (60 miles/hour), every recipe you follow is ratios, people often plan parties with ratios (2 deserts per person, or figuring out how much stuff you need to buy for the number of people you have). This does not even get into the practical uses of science, math, art, etc.
      (13 votes)
  • starky seedling style avatar for user Kittylover16
    the straberry and smoothes problem makes no sence.
    (15 votes)
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    • hopper jumping style avatar for user PK
      If you have a Hard time understanding it, try reading it again. If you are still stuck, don't worry, they are just questions for practice. Below the "check" button, there is a hyperlink "explain", click on it and it will explain the answer.

      Sorry for the late answer..
      (3 votes)
  • blobby green style avatar for user Vankerckhove, Will
    This will not allow me to turn in my work its 9pm and it do tomorow. HELP.
    (12 votes)
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  • hopper cool style avatar for user justbetter
    vote this 50 times pls
    (11 votes)
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  • blobby green style avatar for user mason
    Monkeys are fascinating creatures that have captured the attention of humans for centuries. These primates are known for their high level of intelligence, dexterity, and social behavior. There are over 260 species of monkeys, ranging from the tiny pygmy marmoset to the large mandrill.

    One of the most interesting things about monkeys is their social behavior. They live in groups, or troops, that can vary in size from a few individuals to hundreds. Within these groups, monkeys form complex relationships with each other, including dominance hierarchies and alliances. They also communicate with each other using a variety of vocalizations, facial expressions, and body language.

    Another fascinating aspect of monkey behavior is their use of tools. Some species of monkeys have been observed using sticks to access food, while others use stones to crack open nuts. This ability to use tools is a sign of high cognitive ability and is a trait shared by humans and a few other animals.

    Unfortunately, many species of monkeys are threatened due to habitat loss, hunting, and the pet trade. Conservation efforts are underway to protect these amazing animals and their habitats. By supporting these efforts, we can ensure that future generations will continue to be inspired by the fascinating world of monkeys.
    (8 votes)
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    • blobby green style avatar for user mason
      Emus are fascinating creatures that have captured the attention of people around the world. These large, flightless birds are native to Australia and are known for their distinctive appearance and unique behaviors.

      One of the most notable features of the emu is its size. These birds can grow up to six feet tall and weigh over 100 pounds, making them one of the largest birds in the world. They have long legs and necks, as well as small, beady eyes and a distinctive, down-turned beak.

      Emus are also known for their unusual behavior. They are highly social animals and are often found in large groups, known as mobs. They communicate with each other using a range of sounds and gestures, including hisses, grunts, and drumming noises.

      Another interesting fact about emus is their ability to run at high speeds. They are capable of reaching speeds of up to 30 miles per hour, making them one of the fastest birds on land. This speed, combined with their powerful legs and sharp claws, makes them formidable predators.

      Despite their size and strength, emus are generally peaceful creatures that pose no threat to humans. In fact, they are often kept as pets or used for their meat, which is low in fat and high in protein.

      Overall, emus are fascinating creatures that are worth learning more about. Whether you are a bird enthusiast or simply curious about the natural world, there is plenty to discover about these unique and fascinating birds.
      (7 votes)