How to Know When One Fraction Is Larger Than Another Fraction

By eHow Contributor

In many mathematics exams the situation arises when it very important to know when one fraction is greater than another fraction. Especially in a subtraction problem when the smaller fraction needs to be subtracted from the larger fraction. Also when several fractions are given to be placed in a certain order from the least to the greatest or from the largest to the smallest.

Given the two fractions, (6 / 11) and (5 / 9). Which fraction is larger? Solution : Take the denominator ( 9 ) of the second fraction and multiply the numerator ( 6 ) of the first fraction, that is ( 6 x 9 ) which equals ( 54 ). Write the number ( 54 ), above the first fraction.

Then take the denominator ( 11 ) of the first fraction and multiply the numerator ( 5 ) of the second fraction, that is ( 5 x 11 ) which equals ( 55 ). Write the number ( 55 ) above the second fraction.

Since ( 55 ) is larger than ( 54 ), then the second fraction (5 / 9) is larger than the first fraction (6 / 11).

Given any two fractions (A / B) and (C / D), such that A,B,C,D are whole numbers, each greater than zero, ( 0 ). If the product of ( A x D ) is greater than the product of ( C x B ), then the fraction (A / B) is larger than the fraction (C / D). Similarly if the product of ( A x D ) is less than the product of ( C x B ), then the fraction (A / B) is smaller than the fraction (C / D).