Ratios | All About Ratios

welcome to math with mr. J in this video we're going to take a look at ratios and we have a couple of different situations that we're going to write ratios out for so our top one we have strawberries and oranges we're going to use the picture up in the top right and then number two we have a written out situation that we are going to pull numbers from or quantities from in order to write our ratios so let's start with number one here where we have the ratio of strawberries to oranges now with ratios order matters whatever comes first in your problem needs to come first in your ratios so strawberries two oranges so strawberries have to come first so let's see how many strawberries we have well one two three four so we have four strawberries - how many oranges well 1 2 so 4 2 2 is one way we can write erase you out we can also use a colon so we could say 4 : 2 and that just means 4 strawberries 2 2 oranges or we can use a fraction 4 - 2 whatever comes first is your numerator the top number whatever comes second your denominator now with ratios just like fractions you always want to simplify if it applies to that ratio and 4 - 2 we can simplify we need to find the greatest common factor between 4 & 2 so what can divide into both 4 & 2 well we can divide them both by 2 so 4 divided by 2 is 2 and two divided by two is one so I'm going to rewrite the simplified ratios to two one next I'll write it with the colon so two - one - strawberries - every one orange and then lastly fraction 2 - 1 and let's take a look at the picture up at the top right and as we can see - strawberries - one orange - strawberries - every one orange so our simplified ratio matches our picture let's take a look at the second part of number one the ratio of oranges to the total amount of fruit this is called a part-to-whole ratio because we're taking a part of the group the oranges - the whole group of fruit so oranges how many do we have well - I'm going to use the colon for this too - how many total pieces of fruit well 6 2 - I'm sorry two oranges - six pieces of fruit now this one can be simplified because there's a greatest common factor between 2 and 6 we can divide them both by 2 and 2 divided by 2 is 1 and 6 divided by 2 is 3 so the simplified version is 1 orange - every 3 pieces of fruit so again that's a part-to-whole ratio now the first part of number one up here this was part two part because the strawberries are a part of the group and we compared it to the oranges which is another part of the group all right let's take a look at number two mo has 7 sports video games 3 racing video games and 8 action video games so we're given the situation in words here without a picture and we need to find the ratio of sports to racing games and then the race Oh of action games two racing games so let's do a first year and we need sports first two racing games so how many sports games well seven and I'll use the colon again and we are now finding how many racing games well three sports needed to come first because its first in our situation racing comes second because its second in our situation so there are seven sports games to every three racing games that one is in simplest form already so we're done let's take a look at B ratio of action games two racing games well how many action games there are eight action games that needs to come first because it was first in our situation and two racing games and there are three racing games so there are eight action games to every three racing games that one is in simplest form already just like part a so we are done with number two there so there you have it there's how we write out ratios for different types of situations hopefully that helped thanks so much for watching until next time peace