Equivalent Fractions: Rewriting With Smaller Denominator - Fast And Easy Math Learning Videos
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Title: Equivalent Fractions: Rewriting With Smaller Denominator - Fast And Easy Math Learning Videos
You already know that when you find an equivalent fraction with a larger denominator it’s called expanding the fraction. In this lesson you’re going to learn how to find an equivalent fraction with a smaller denominator.
This is called reducing the fraction.
For example, suppose we want to find a fraction that’s equivalent to six-eighths but has a denominator of 4. We can do this using the number line.
First we find six-eighths on the number line.
There are eight parts in each whole unit, and six parts are counted. So this fraction represents six eighths on the number line. Since we want our equivalent fraction to have a denominator of 4, we want each whole unit to have 4 parts instead of 8. We’ll show this on another number line, like this.
Each unit is divided into four parts.
When we compare the number line we see that each fourth here is the same size as two eighths here.
So each fourth of a unit represents 2 eighths of a unit. Now let’s look at the parts that are counted in the fraction six eighths.
When we show the same fraction on the line for fourths, we have only 3 total parts representing the fraction.
Since there are half as many parts in each whole, there are half as many parts counted. In other words, we have divided the numerator and denominator of our original fraction by the same number. In this case, we divided by 2.
This gives us four in the denominator and 3 in the numerator. Since the point on the number line is the same after dividing by 2 the fractions are equivalent. So, six-eights can be reduced and rewritten as the equivalent fraction three-fourths.
Now let’s look at an example without using the number line. In this case, we want to reduce the fraction nine-fifteenths by writing it with a denominator of 5.
First, we want to determine which number we need to divide the original denominator, 15, by to get the new denominator, 5
We know that 15 divided by 3 is 5.
So, we also divide the numerator by 3 to get an equivalent fraction.
9 divided by 3 equals 3.
So the fraction nine-fifteenths can be rewritten as the equivalent fraction - three-fifths.
In this case, we say that the fraction nine-fifteenths is reduced to three fifths. The number represented by the fraction is still the same, but the numerator and denominator are both smaller numbers.
One last example. Here we want to reduce three-twelfths to an equivalent fraction with a denominator of 4.
First, we find the number we need to divide 12 by to get 4.
We know that 12 divided by 3 is 4, so we divide the numerator by 3 also.
Three divided by 3 equals 1, so the numerator of the reduced fraction is 1.
The fraction three-twelfths is reduced to the equivalent fraction one-fourth.
In the remainder of this lesson you’ll practice reducing fractions like these.
http://[a]www.ilearn.com%2Ffractions[/a]
https://youtu.be/7wYPdTeb5R8
