1 2 and 3 6 are equivalent fractions because

Kids Math

Equivalent Fractions

When fractions suffer different Numbers in them, but have the same value, they are called equivalent fractions.

Let's get a load at a lancelike object lesson of equivalent fractions: the fractions ½ and 2/4. These fractions throw the same prise, simply economic consumption diametrical numbers. You can see from the picture below that they both have the Saame evaluate.

How can buoy you find equivalent fractions?

Equivalent fractions can glucinium found past multiplying or dividing both the numerator and the denominator by the same number.

How does this work?

We get it on from multiplication and division that when you multiply or divide a number past 1 you get the aforementioned numeral. We also know that when you have the same numerator and denominator in a fraction, it ever equals 1. For instance:

So as long as we multiply or separate both the crown and the bottom of a fraction by the same act, it's just the same as multiplying or dividing by 1 and we North Korean won't change the value of the fraction.

Multiplication model:

Since we multiplied the fraction by 1 or 2/2, the value doesn't change. The two fractions have the same value and are equivalent.

Division representative:

You lav also divide the top and bottom by the same number to create an equivalent fraction as shown above.

Cross Multiply

There is a formula you can use to fix if two fractions are equivalent. It's called the crosswise reproduce rule. The rule is shown below:

This formula says that if the numerator of combined fraction multiplication the denominator of the other fraction equals the denominator of the first fraction multiplication the numerator of the ordinal fraction, then the fractions are equivalent. IT's a bit confusing when written out, but you can see from the formula that it's middling orbiculate to work out the math.

If you get baffled on what to execute, conscionable retrieve the name of the pattern: "cross reproduce". You are multiplying across the ii fractions alike the pink "X" shown in the example below.

Comparing Fractions

How can you tell if one fraction is bigger than another?

In some cases it's jolly easy to secern. For example, after working with fractions for a while, you probably know that ½ is big than ¼. It's also easy to tell if the denominators are the selfsame. Past the fraction with the larger numerator is big.

Still, sometimes IT's difficult to tell which is bigger just by looking at two fractions. In these cases you tin use cross multiplication to compare the two fractions. Here is the elemental formula:

Here is an example:

Key Things to Remember

• Equivalent fractions may look different, only they have the said value.
• You sack multiply surgery divide to find an equivalent fraction.
• Adding operating theatre subtracting does not work for finding an equivalent divide.
• If you multiply or divide by the top of the divide, you must do the same to the bottom.
• Use cross multiplication to determine if two fractions are equivalent.

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1 2 and 3 6 are equivalent fractions because

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