How To Compare Fractions

How To Compare Fractions A benchmark is a number or point of reference commonly used to compare other numbers To compare fractions frac 1 2 or 1 may be used as benchmarks The following are the models that are used to compare fractions Fraction strips Number line

Comparing fractions defines the comparison of two fractions whether the first fraction is greater than or less than or equal to the second fraction For example 189 is greater than 188 189 is less than 190 We can use the equality or the inequality symbols to Equivalent fractions represent the same portion of the whole For each fraction we can find its equivalent fraction by multiplying both numerator and denominator with the same number For example we have to find the third equivalent fraction of then we have to multiply 2 3 by 3 3 Hence 2 3 215 3 3 6 9 is the fraction equivalent to 2 3

How To Compare Fractions

How To Compare Fractions

How To Compare Fractions
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Fraction Tips Math Teaching Math Math Lessons
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In Maths there are three major types of fractions They are proper fractions improper fractions and mixed fractions Fractions are those terms which have numerator and denominator Based on these two terms we define its types Fractions are the terms used to determine the parts of a whole object For example a pizza is divided into four Method 2 If we have two fractions with different denominators then follow the below steps to compare the fractions Step 1 Multiply the denominators of two fractions to get the same denominator Step 2 Multiply the numerator of one fraction with the denominator of the other to get the numerator of the first fraction

Definition of Fraction and Rational Numbers A fraction is any number of the form a b where both a and b are whole numbers and b 0 On the other hand a rational number is a number which is in the form of p q where both p and q are integers and q 0 Thus a fraction is written in the form of m n where n is not 0 and The easy way to compare fractions is to make the denominators same then which fraction has the greatest numerator is the greatest fraction Example 3 7 4 3 Make their denominators same Multiply the numerator and denominator to make the denominator same 3 215 3 7 215 3 4 215 7 3 215 7 9 21 28 21 9 21 is small 28 21 is greater Therefore

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So there is often a need to convert unlike fractions to them Let us convert 1 4 5 7 10 and 1 2 into like fractions Steps for conversion Find the LCM of the denominators LCM of 1 5 10 and 2 is 10 Calculate their equivalent fractions with the same denominator that is Example 2 Compare fractions on the number line frac 3 4 and frac 6 8 Solution First draw the fractions on the number line Draw a number line through 0 and 1 Then divide that into 8 equal parts Mark the fractions on the number line as shown We can see that both the numbers are at the same point or position

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How To Compare Fractions - Method 2 If we have two fractions with different denominators then follow the below steps to compare the fractions Step 1 Multiply the denominators of two fractions to get the same denominator Step 2 Multiply the numerator of one fraction with the denominator of the other to get the numerator of the first fraction