Video: Writing a Fraction given Its Numerator and Denominator

If the numerator of a fraction is 7, and the denominator is ten times the numerator, what is the fraction?

02:19

Video Transcript

If the numerator of a fraction is seven and the denominator is 10 times the numerator, what is the fraction?

We know that fractions are made up of two numbers with a horizontal line in between to separate them. These two numbers are the numerator and the denominator. And our question mentions these keywords. If the numerator of a fraction is seven and the denominator is 10 times the numerator, what is the fraction?

Let’s start by reminding ourselves what each of these keywords means and what they represent. The denominator is the bottom number in a fraction. This number represents the number of equal parts that one whole has been split into. If the bottom number is the denominator, this must mean the top number is the numerator. This shows us the number of chosen or selected parts, the number of parts that we’re talking about.

Now that we’ve gone over what these terms mean, let’s reread the question. If the numerator of a fraction is seven. So now we know the top number of our fraction must be seven. We can complete this. We can also see that the number of chosen parts is going to be seven. But out of how many? We’re told that the denominator is 10 times the numerator. This means that the value of our denominator must be worth 10 times seven. And what is 10 times seven? 10 lots of seven equals 70. Our denominator must be 70. This means the number of equal parts that the whole has been spilt into is 70. Our fraction shows seven seventieths or seven out of a possible 70. If the numerator of a fraction is seven and the denominator is 10 times the numerator, the fraction is seven seventieths.

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