How to Make a Ratio
Use a symbol to denote the ratio., Write the first given quantity to the left of the symbol., Write the second given quantity to the right of the symbol., Simplify your ratio (optional)., Turn the ratio into a percentage (optional).
Step-by-Step Guide
-
Step 1: Use a symbol to denote the ratio.
To indicate that you're using a ratio, you can use the division sign ( / ), a colon ( : ), or the word to.
For example, if you wanted to say, "For every five men at the party, there are three women," then you could use any of the three symbols to state this.
Here's how you would do it: 5 men / 3 women 5 men : 3 women 5 men to 3 women -
Step 2: Write the first given quantity to the left of the symbol.
Write down the quantity of the first item before the symbol of your choice.
You should also remember to state the units, or the number you're working with, whether it's men or women, chickens or goats, or miles or inches.
Example: 20 g of flour , After you've written the first given quantity followed by the symbol, you should write the second given quantity, along with its units.
Example: 20 g of flour/ 8g of sugar , You may want to simplify your ratio to do something like scale down a recipe.
If you're using 20 g of flour for a recipe, then you know you'll need 8 g of sugar, and you're done.
But if you'd like to scale down the ratio as much as possible, then you'll need to simplify it by writing the ratio in its lowest possible terms.
You should use the same process as you would use to simplify a fraction.
To do this, you have to find the GCF, or the greatest common factor, of both quantities, and then see how many times that number fits into each given quantity.
To find the GCF of 20 and 8, write down all of the factors of both numbers (the numbers that can multiply to make those numbers and thus can be evenly divided into those numbers) and find the largest number that is evenly divisible into both.
Here's how you do it: 20: 1, 2, 4, 5, 10, 20 8: 1, 2, 4, 8 4 is the GCF of 20 and 8
-- it's the largest number that evenly divides into both numbers.
To get your simplified ratio, simply divide both numbers by 4: 20/4 = 5 8/4 = 2 Your new ratio is 5 g flour/ 2 g sugar. , If you'd like to turn the ratio into a percentage, you just have to complete the following steps:
Divide the first number by the second number.
Ex: 5/2 =
2.5.
Multiply the result by
100.
Ex:
2.5 * 100 =
250.
Add a percentage sign. 250 + % = 250%.
This indicates that for every 1 unit of sugar, there is
2.5 units of flour; it also means that there is 250% as much flour as there is sugar. -
Step 3: Write the second given quantity to the right of the symbol.
-
Step 4: Simplify your ratio (optional).
-
Step 5: Turn the ratio into a percentage (optional).
Detailed Guide
To indicate that you're using a ratio, you can use the division sign ( / ), a colon ( : ), or the word to.
For example, if you wanted to say, "For every five men at the party, there are three women," then you could use any of the three symbols to state this.
Here's how you would do it: 5 men / 3 women 5 men : 3 women 5 men to 3 women
Write down the quantity of the first item before the symbol of your choice.
You should also remember to state the units, or the number you're working with, whether it's men or women, chickens or goats, or miles or inches.
Example: 20 g of flour , After you've written the first given quantity followed by the symbol, you should write the second given quantity, along with its units.
Example: 20 g of flour/ 8g of sugar , You may want to simplify your ratio to do something like scale down a recipe.
If you're using 20 g of flour for a recipe, then you know you'll need 8 g of sugar, and you're done.
But if you'd like to scale down the ratio as much as possible, then you'll need to simplify it by writing the ratio in its lowest possible terms.
You should use the same process as you would use to simplify a fraction.
To do this, you have to find the GCF, or the greatest common factor, of both quantities, and then see how many times that number fits into each given quantity.
To find the GCF of 20 and 8, write down all of the factors of both numbers (the numbers that can multiply to make those numbers and thus can be evenly divided into those numbers) and find the largest number that is evenly divisible into both.
Here's how you do it: 20: 1, 2, 4, 5, 10, 20 8: 1, 2, 4, 8 4 is the GCF of 20 and 8
-- it's the largest number that evenly divides into both numbers.
To get your simplified ratio, simply divide both numbers by 4: 20/4 = 5 8/4 = 2 Your new ratio is 5 g flour/ 2 g sugar. , If you'd like to turn the ratio into a percentage, you just have to complete the following steps:
Divide the first number by the second number.
Ex: 5/2 =
2.5.
Multiply the result by
100.
Ex:
2.5 * 100 =
250.
Add a percentage sign. 250 + % = 250%.
This indicates that for every 1 unit of sugar, there is
2.5 units of flour; it also means that there is 250% as much flour as there is sugar.
About the Author
Kathleen Kim
Experienced content creator specializing in practical skills guides and tutorials.
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