20 is divisible by four, inįact, that is five times four. Or perfectly divisible by four is what we care about. Multiples and keep increasing them until we get one Multiple of four and five? Well let's start with the larger number, and let's look at its Well we have different denominators here, and we wanna find, we wanna rewrite these so they have the same denominators, so we have to find a common multiple, ideally the least common multiple. What is this going to be? And once again, pause the video and see if you could work it out. Let's say that we wanted to add, We're gonna add 3/4 to, we're gonna add 3/4 to 1/5. Into 17 one time with a remainder of five, so 1 5/12. It as a mixed number, that is what, 12 goes
#Adding fractions calculator with whole numbers plus#
We have 6/12 plus 11/12, it's gonna be six plus 11 over 12, which is equal to, six plus 11 is 17/12. So this is going to be equal to six, this is going to be equal to six plus 11, six plus 11 over 12. And how would we writeġ1/12 as something over 12? Well it's already writtenĪs something over 12, 11/12 already has 12 in the denominator, so we don't have to change that. So 1/2 is what over 12? Well to go from two toġ2, you multiply by six, so we'll also multiply So 12 is actually the leastĬommon multiple of two and 12, so we could write both of these fractions as something over 12. And is that divisible by two? Yeah, sure. Well 12 times one is 12, so that we could view thatĪs the lowest multiple of 12. Let's start with the larger of the two numbers, 12. Multiple of two and 12, and just like we did before, Two and 12, and ideally we'll find the lowest common Well what we wanna find is a multiple, a common multiple of If these had the same denominator, we could just add them immediately, but we wanna find a common denominator because right now they're not the same. Well like we saw before, we wanna find a common denominator. And I encourage you to pause the video and see if you could work this out. To add, we wanted to add 1/2 to to 11/12, to 11 over 12. Number, 15 goes into 16 one time with a remainder one. So, this is the same thingĪs 16/15, and if I wanted to write this as a mixed So if we divide the numeratorĪnd the denominator by two, numerator divided by two is 16, denominator divided by two is 15. We have a common factor of 32 and 30, they're both divisible by two. We have a certain number of 30ths, added to another number of 30ths, so 27/30 + 5/30, well that's going to be 27, that's going to be 27 plus five, plus five, plus 5/30, plus 5/30, which of course going to be equal to 32/30.
And now we can add, now we can add and it's fairly straightforward. So 9/10 is the same thing as 27/30, and 1/6 is the same thing as 5/30. Numerator by five as well, so one times five, one times five is five. So if we multiply the denominator by five, we have to multiply the So what did we do go from six to 30? We had to multiply by five. So 1/6 is what over 30? I encourage you to pause the video and try to think about it. I can also write 1/6 with a denominator of 30. With a denominator of 30, and that's useful because So once again, 9/10 and 27/30 represent the same number.
The numerator by three and the denominator by three,Īnd that doesn't change the value of the fraction. I have to multiply that by three as well because now I'm just multiplying The value of the fraction, I have to do the same
How would I write that as something over 30? Well I multiply the denominator, I'm multiplying So I could rewrite both of these fractions as something over 30. The smallest multiple of 10 that is divisible by six?"Īnd that's going to be 30. The multiples of 10 and saying, "Well what is Is start with the larger denominator here, 10, and say, So what's a common multiple of 10 and six? And it's usually simplest toįind the least common multiple, and a good way of doing that Gonna have to be a common multiple of these twoĭenominators of 10 and six. So how do you think aboutĪ common denominator? Well, a common denominator's It's not obvious how I add these." And you'd be right and the way to actually move forward is to findĪ common denominator, to convert both of these fractions into fractions that have a common denominator. What is this, what is this going to equal? So when you first look at this, you say, "Oh, I have different denominators here. We have the fraction 9/10, and I want to add to
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