![]() 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. Only divide if the numerator and denominator remain as whole numbers.įoe example, 3 / 4 is equivalent to 300 / 400.Multiply or divide the numerator and denominator by the same number.To find equivalent fractions, follow these steps: ![]() This also means that 2 / 3 is equivalent to 4 / 6 which is equivalent to 10 / 15 is 2 / 3. We say that fractions that have the same ratio of numerator to denominator are called equivalent. This is because we can choose any number to multiply the numerator and denominator by and there are infinite numbers.įor example, this time instead of multiplying the digits in 2 / 3 by 2, we will multiply by 5.Ģ multiplied by 5 equals 10 and 3 multiplied by 5 is 15. There are an infinite number of equivalent fractions that a fraction can have. This means that 4 / 6 is the same as 2 / 3. One third of 6 is 2 and two thirds of 6 is 4. The numerator of 2 has been doubled to get 4 and the denominator of 3 has been doubled to get 6.īoth fractions are equivalent because 4 / 6 is 2 / 3. To be equivalent, the numerator and denominator of a fraction must have been multiplied or divided by exactly the same number to make the new fraction.įor example, in the fraction 2 / 3, the numerator and denominator can be multiplied by 2 to find the equivalent fraction 4 / 6. Equivalent fractions are fractions that are the same size but have different numerators and denominators.
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