When do children learn about equivalent fractions in primary school?.To understand equivalent fractions, make sure you know the basics of fractions.So, adding our whole number component back in, we get a new mixed number, 3 1/4. For instance, for 3 4/16, we'll just look at 4/16. If we don't, we ignore the whole number component, convert the fractional component alone, then add the whole number component back in unchanged. ![]() However, we don't have to convert to an improper fraction as above.For instance, 5/3 × 2/2 = 10/6, which is still equivalent to 1 2/3. Then, if desired, you can convert as needed. To convert to an improper fraction, multiply the whole number component of the mixed number by the denominator of the fractional component and then add it to the numerator.If you need to convert a mixed number to an equivalent fraction, you can do it in two ways: by changing the mixed number to an improper fraction, then converting as normal, or by maintaining the mixed number and receiving a mixed number as an answer. 1 3/4, 2 5/8, 5 2/3, etc.) can make the conversion process a little more complicated. Obviously, not every fraction you come across will be as easy to convert as our 4/8 example above. If desired, convert mixed numbers to improper fractions to make converting easier. -10 = 2x, and divide by 2 to solve for x.2 = 2x + 12, then we should isolate the variable by subtracting 12 from both sides.2x + 2 = 4x + 12, then we can simplify the equation by subtracting 2x from both sides.In this case, as above, we'll solve by cross multiplying: For instance, let's consider the equation ((x + 3)/2) = ((x + 1)/4).Similarly, if the numerators or denominators of your fractions contain variable expressions (such as x + 1), simply "multiply through"by using the distributive property and solve as you normally would. For instance, if both fractions contain variables, you just have to eliminate these variables at the end during the solving process. One of the best things about cross multiplication is that it works in essentially the same way whether you're dealing with two simple fractions (as above) or with more complex fractions. Use cross multiplication for equations with multiple variables or variable expressions. ![]() For our other example of 8/16, the GCF is 8, which also results in 1/2 as the simplest expression of the fraction. So, in our 4/8 example, since 4 is the largest number that divides evenly into both 4 and 8, we would divide the numerator and denominator of our fraction by 4 to get it in simplest terms.
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