Fraction Strips with Benchmark Fractionsįraction strips are colored pieces of paper, similar in length, containing benchmark fractions. Thus, from the number line, we can conclude that 5/12 is greater than ¼. Here 0/12 represents zero, 6/12 is for ½, and 12/12 is 1. We can use it to compare fractions.Įxample: Compare which fraction is greater: ¼ or 5/12.įirst, we will draw a number line to compare the two fractions, as shown below. How to Compare Fractions by using Benchmarks and Number Lines?Ī number line is the most commonly used visual representation of fractions. Measuring tape several carpentry and construction tools Measuring spoons and cups have several benchmark fractions marked on them. Real-life examples of benchmark fractions: A ruler used in everyday life has halves, fourths, and eighths as benchmark fractions. Here we must multiply both the numerator and denominator with the same number. Since there are six multiples involved in reaching up to 12 in the denominator, we will multiply ½ by 6 as follows: We will stop when we get the denominator of the other number. We will first make a list of multiples of 2 (the denominator of ½). As three is less than four, 3/8 will be slightly less than one-half.Įxample: Compare ½ and 7/12 to see which one is greater. How to Compare Fractions using Benchmark Fractions?Ĭonsider the following examples to understand how to compare different fractions with benchmark fractions.Įxample: Compare whether 3/8 is less or more than one-half? Some common benchmark fraction examples are as follows: Therefore, it is much closer to 5/10 (or ½) than 0 or 1. So, on comparing 4/10 to 5/10, we can note that it is only 1/10 away from 5/10. So, a fraction with ten as the denominator can be compared to 5/10 as we know that it is exactly half. 5/10 is equivalent to ½ on simplification. If we use 1/2 as a benchmark fraction, it simplifies the process. If the numerator is exactly half the amount of the denominator, then the fraction is equivalent to one-half. We will first study the numerator and compare it to the denominator. Now, we can compare the other fractions with different denominators to one half.Īlso, it is simple to determine whether a fraction is equivalent to one-half. ½ can also be written in different forms or equivalent fractions, such as 2/4, 3/6, 4/8, and so on. It lies right in the middle between zero and one. Therefore, the most common benchmark fraction example is ½ (one-half). We can easily divide any object to be measured or compared into two equal parts. Using benchmark fractions for estimations helps students develop fraction number sense and advance their mental math skills. They are simple common fractions that each of us is familiar with, and they make visualizing complicated fractions much easier. So, a known size or amount helps understand a different size or amount. How to compare fractions by using benchmarks and number lines?īenchmark fraction definition: A common fraction that we can use to compare other fractions is a benchmark fraction.How to compare fractions using benchmark fractions?.The word benchmark refers to a standard that other things can be compared to. Their role and usage are the same as their name suggests. Want to simplify comparing and ordering fractions? Learn all about benchmark fractions, their definition, use, chart, and much more, as it is one of the best strategies to use these fractions when understanding the comparison of fractions. Fractions are used in real life in many different ways, but they are most commonly used in the cooking, construction and science industries.2/12 or 6/7- which one is greater? To answer this, one would have to calculate the lowest common denominator and then multiply both fractions so that they share a common denominator and then compare them. ![]() Fractions appear in every-day media to display information to consumers.The correct answer always lies on a tick mark, so if the picture has a point that is not on a tick mark, that is not the correct answer.This exercise is easy to get accuracy badges and speed badges because the fractions are close to one and 1 can be used as a benchmark for comparison. Select the correct point: This problem has a number line drawn and asks the user to identify which of four labeled points is a specific given fraction.There is one type of problem in this exercise: This exercise helps users to visualize fractions on the number line using tick marks and comparison to one. The Unit fractions on the number line exercise appears under the 3rd grade (U.S.) Math Mission, Arithmetic essentials Math Mission, Pre-algebra Math Mission and Mathematics I Math Mission. 3rd grade (U.S.) Math Mission, Arithmetic essentials Math Mission, Pre-algebra Math Mission, Mathematics I Math Mission
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