How to Calculate X to Y Ratios

The ratio of x and y means x divided by y. The ratio shows the size of one value compared to another, which can be useful for all kinds of purposes, such as finding the slope of a hill or graph, or the rise over the run. You can also find the ratio of x and y in many algebraic equations, which is required in some mathematics classes. When calculating ratios, follow basic rules of mathematics and prove your work on paper.

Things You'll Need

  • Calculator
  • Lined paper
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Instructions

  1. Simple Ratios

    • 1

      Write x and y down separated by a colon, as in "x:y," on lined paper. This is the standard way that ratios are written.

    • 2

      Skip a line and write the value x, a line under it and then the y value under the line. This notation signifies x divided by y.

    • 3

      Enter the x value into a calculator, press the divide symbol ("÷"), enter the y value and press the equals button ("="). This value is the ratio of x and y.

    • 4

      Skip a line on the paper, write an equals sign and write the number on the calculator screen.

    • 5

      Multiply the value by 100 to transform the ratio of x to y into a percentage. This will give you the size of x as a percentage of y.

    Linear Equations

    • 6

      Write the equation, such as y = 2x - 4. In this equation the slope of the line is the coefficient of x, 2, and the y-intercept is 4. The intercept is the point at which this linear equation would cross the y-axis if drawn on a graph. The slope stays constant, unlike the ratio of x/y, which changes depending on the values of x and y. This is because of the presence of the intercept.

    • 7

      Skip a line and rearrange the equation so that the x term alone is on one side:

      y + 4 = 2x

    • 8

      Divide all of the terms on both sides by y to achieve the form x/y:

      1 + 4/y = 2x/y

    • 9

      Divide both sides by 2 to get the ratio of x to y.

      1/2 + 2/y = x/y

    • 10

      Enter an x value into the original equation. For example, plug in x = 3:

      y = 2x - 4 = 6 - 4

      y = 2

    • 11

      Enter the y value into the equation to find the ratio of x to y when x is 3 and y is 2.

      x/y = 1/2 + 2/y

      = 1/2 + 1

      = 1 and 1/2, or 3/2

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