A ratio is the relationship, or comparison, of one amount to another. To simplify a ratio means to reduce it to its smallest, simplest, terms. In order to reduce a ratio, or fraction, to its simplest form, it is necessary to find the greatest, or highest, common factor for both terms in the ratio or fraction.
Why is it important to simplify ratios?
Many ratios can be written with smaller numbers. This is called writing ratios in their simplest form , or simplifying ratios. Simplifying ratios makes them easier to work with. As the two examples below show, you simplify ratios by dividing the number on each side by their greatest common factor.
What does it mean to write your answer in simplest form?
Writing a fraction in its simplest form means that the top and bottom numbers can no longer be divided by the same whole number exactly or evenly (other than the number 1). For example, the fraction 2/3 is fully reduced. An example of a fraction that isn’t fully reduced is 2/4.
What is the ratio of 52 to 65?
Convert fraction (ratio) 52 / 65 Answer: 80%
What is the ratio of 12 to 6?
Since the simplest form of the fraction 12/6 is 2/1, the simplest form of the ratio 12:6 is also 2:1.
What is a simple ratio?
Definition. A ratio is in its simplest form when both sides are whole numbers and there is no whole number that both sides can be divided by. Consider ratios of whole numbers for example, 6:4. It can be written as the fraction 64.
What is ratio give an example?
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).
What are the three ways in writing ratio?
The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word “to,” as “3 to 6.” Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.
How to simplify a ratio to its simplest form?
A ratio can be simplified by dividing both sides of the ratio by the Highest Common Factor (HCF). The highest common factor is the largest number that goes into both numbers of your ratio. In example 1 you are asked to simplify the ratio 6:8. Here the HCF is 2 so divide both sides…
Which is the best way to calculate the ratio?
There’s a better way. The better way is to use the Euclidean algorithm to find the greatest common divisor, GCD, then divide both the numerator and denominator by that GCD. The result will be the simplest form for the the ratio.
What is the simplified ratio of 6 to 10?
The simplified ratio is 3 : 5. 6 : 10 = 3 : 5 in simplest form; Example: Simplify the ratio 8 : 36. The factors of 8 are: 1, 2, 4, 8; The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36; The greatest common factor of 8 and 36 is 4; Divide both terms by 4; 8 ÷ 4 = 2; 36 ÷ 4 = 9; Rewrite the ratio using the results. The simplified ratio is 2 : 9.
When do you need to simplify the ratio of flour to 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.
