iCalculator™ Math

Equivalent Ratios Calculator

This Ratio Calculator will allow you to:

Calculate 1 or more equivalent ratios (see the instructions below "How to Calculate Equivalent Ratios")
Discover how to calculate equivalent ratios - every step of the ratio calculation is provided so you can check the answer against your own ratio calculations. Great for checking homework and coursework to validate your calculations before handling it in for marking
Calculate sequential equivalent ratios or have a random mix of equivalent ratios - this is useful if you are a teacher and simply want to create a ratio table for your students to practice simplifying ratios or to calculate equivalent ratios

Equivalent Ratios Calculator
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Choose Calculation [ Instructions ]
Ratio Numerator : Ratio Denominator
Numerator : Denominator
Multiplier (m)

Equivalent Ratios Results (detailed calculations and formula below)
Equivalent Ratio Table (:)
Ratio
:
Ratio as a Fraction
/
Equivalent Ratio Formula
Equivalent Ratio = **n × m/d × m** n = d = m =
Equivalent Ratio Calculation
: = / Equivalent Ratio = × / × Equivalent Ratio = / Equivalent Ratio = :

Please note that the formula for each calculation along with detailed calculations is shown further below this page. As you enter the specific factors of each equivalent ratios calculation, the Equivalent Ratios Calculator will automatically calculate the results and update the formula elements with each element of the equivalent ratios calculation. You can then email or print this equivalent ratios calculation as required for later use.

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Equivalent Ratios. This image shows the properties and equivalent ratios formula for the Equivalent Ratios

How to Calculate Equivalent Ratios

The following process explains how to calculate equivalent ratios using the Equivalent Ratios Calculator, you can use the same procedure to calculate equivalent ratios manually using a pen and paper, you simply need to manually calculate the parts where specified within square brackets [ like this ]

Enter the Ratio into the Equivalent Ratio Calculator. [ Write the ratio down on paper ]
The calculator will then convert the ratio into a fraction. [ Write the ratio above as a fraction ]
Choose how you want to calculate equivalent ratios, your options within the calculator are:
1. Specify a Multiplier: This is the best option if you are checking your homework or coursework as you enter a specific multiplier to produce an exact equivalent ratio. This option produces one equivalent ratio. The calculator will display the working calculations so you can see how the equivalent ratio is calculated.
2. Sequential Multipliers: This is a good option for viewing equivalent ratios in sequential amounts related to sequential whole numbers. This option produces 50 equivalent ratios, in sequence, in a ratio table. The calculator will display the working calculations of the first multiplier only so you can see how the equivalent ratio is calculated, the same formula and calculations are used for each equivalent ratio calculation.
3. Random Multipliers: This is a good option for creating random equivalent ratios, useful if you are a teacher and want to create a ratio table for students to practice simplifying ratios. This option produces 50 equivalent ratios, with random multipliers, in a ratio table. The calculator will display the working calculations of the first multiplier only so you can see how the equivalent ratio is calculated, the same formula and calculations are used for each equivalent ratio calculation.
The calculator will then multiply the Numerator n and Denominator d by the Multiplier m. [ Write the multiplier down and multiply the denominator and the numerator by the multiplier.]
You can then print or email the equivalent ratio(s) and calculations so you have a reference for later use.

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