Video: Multiplying Whole Numbers by Fractions

Calculate 1/6 × 7.


Video Transcript

Calculate one-sixth multiplied by seven.

In this question, we’re being asked to multiply a fraction by a whole number. Now, we might think that what we need to do to find the answer is to multiply one by seven and also six by seven. This would give us an answer of seven over 42. But it’s not the right method to use. Let’s go over why.

This model shows one-sixth. Now, if we multiply our one-sixth by seven, our answer is going to be a number of sixths. The denominator of our fraction stays the same. And all we have to do is to multiply the numerator by seven. So, how many lots of one-sixth have we? We have seven lots of one-sixth. The answer is seven-sixths.

Now, we can see this is an improper fraction. The numerator is larger than the denominator. We know that six-sixths are equal to one whole. And so, we can express seven-sixths as one and one-sixth. One-sixth multiplied by seven equals seven-sixths. And we can write this as one and one-sixth.

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