What is the total amount of chocolate when five children each have 1 1/2 bars?

Name: How To Multiply A Mixed Number By A Whole Number
Uploaded: 2024-03-27T15:20:35+00:00
Duration: 1 min 31 s
Channel: Rob Langman
Description: A short instructional video in which presenter Brooke demonstrates multiplying mixed numbers by whole numbers using the example: five children each have…

Rob LangmanChief Commercial Officer at Third Space Learning

How To Multiply A Mixed Number By A Whole Number

27 Mar 2024 · 2 min

Watch on YouTube

1:31

A short instructional video in which presenter Brooke demonstrates multiplying mixed numbers by whole numbers using the example: five children each have 1 1/2 chocolate bars, so total chocolate is 7 1/2 bars. Brooke shows two methods: a bar model (separating whole and fractional parts) and converting the mixed number to an improper fraction before multiplying.

Questions this video answers

7 1/2 bars (equivalently 15/2).

Chapters

Hi, my name's Brooke and in this video we'll be looking at multiplying mixed numbers by whole numbers. So let's start with our problem. Five children have one and a half chocolate bars each and we need to find out how much chocolate they have altogether. Now we can explore this using a bar model. So here you can see that I've done five lots of one and a half. So first of all, I'm going to find out how many whole bars of chocolate I've got, which is five times one. You can see that I've got five whole bars of chocolate. And the next thing I'm going to do is five times a half. I've got 1, 2, 3, 4, 5 halves. That's represented as an improper fraction. I can also convert it to a mixed number by combining these parts. So I've got one, two and a half. I then need to add five, two to two and a half, and that will be seven and a half bars of chocolate. So they have seven and a half bars of chocolate altogether. Another way we could have worked this out is by thinking about how many halves we had to begin with. So you've got one and a half, which would be three halves. As an improper fraction, we then need to multiply this by the number of children, which is five. So three halves times five equals 15 halves. We then need to convert this back into a mixed number. So 15 halves is equal to seven and a half. And that's how we multiply mixed numbers by whole numbers.