To find equivalent improper fractions, multiply or divide the numerator and the denominator by the same amount.įor example here is the improper fraction 5 / 2. Two Improper fractions can be equivalent too. įraction charts are also known as fraction walls and can be a very useful method of teaching the concept of equivalent fractions.Īn activity for children can be to look for and identify equivalent fractions using a fraction wall. There are infinite fractions that are equivalent to one third, such as 2 / 6 or 3 / 9. Here is an equivalent fraction chart showing fractions equivalent to 1 / 3. There are infinite fraction that are equivalent to one half, such as 2 / 4 and 3 / 6. Here is an equivalent fraction chart showing fractions equivalent to 1 / 2. Fractions that are the same size are shown highlighted on an equivalent fraction chart. The diagrams show that they are the same amount of the total shape shaded.Īn equivalent fractions chart is a visual way to show fractions that are equivalent to each other. This means that 4 is half of 8.Īll of these fractions are equivalent because they take up the same space. Each part is now four times smaller than the half parts that we had originally.ġ / 2 is equivalent to 4 / 8. ![]() If we double the number of parts again, each part becomes even smaller. We now need two parts to have half of the shape.ġ / 2 is equivalent to 2 / 4. If we double the number of parts we have in total, then each part is twice as small. ![]() If we double the number of parts there are in total and also double the number of parts we have, the proportion of parts we have has not changed.įor example, in the fraction 1 / 2, we have 1 part shaded out of 2. The numerator of a fraction tells us how many parts we have. The denominator of a fraction tells us how many parts it is split up into in total. If the numerator and denominator are multiplied or divided by the same amount, the fraction has increased and decreased by the same amount and so, it has not changed its overall size. Increasing the numerator increases the size of the fraction and increasing the denominator decreases the size of the fraction. The rule for equivalent fractions works because the numerator and the denominator are both multiplied or divided by the same number. Why Does the Rule for Equivalent Fractions Work? We can see that 3 / 4 is clearly a larger fraction than 1 / 2 and so, the fractions are not equivalent. We can see that the first fraction is 1 / 2 but by adding 2 to both the numerator and denominator, we get to the fraction 3 / 4. When teaching equivalent fractions, it can help to show this common mistake using a diagram. We can see this common mistake easily in the following diagram. It is a common mistake for children to add or subtract because they are often more familiar with these processes than they are with multiplication and division. When teaching equivalent fractions, it is important to state that we only multiply and divide and never add or subtract. The numerator and denominator have both been multiplied by 100. The numerator and the denominator have been multiplied by the same amount, so they are equivalent.
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