Explain Comparing Fractions with example?

If fractions are not equivalent, how do you figure out which one is larger?

Comparing fractions involves finding the least common multiple of the denominators, called LCD (Least Common Denominator).
To compare fractions:

First, convert the fractions to equivalent fractions having the LCD.

Second, compare the numerators of the fractions.

The fraction with the larger numerator is larger.

Example: Compare 7/15 and 4/10.

Step 1: Find the LCM of 15 and 10.
Multiples of 15: 15, 30, 45, 60, ...
Multiples of 10: 10, 20, 30, 40, 50 , 60,...
The smallest multiple they have in common is 30.
Therefore, the LCD of the fractions is 30.

Step 2: Write the equivalent fractions of 7/15 and 4/10 having denominator 30.
7/15 = 7x2/15x2 = 14/30
To change 15 to 30, 15 must be multiplied by 2. If the denominator is multiplied by 2, then the numerator must be multiplied by 2.

Remember: Multiplying or dividing the numerator and denominator by the same number makes equivalent fractions.
4/10 = 4x3/10x3 =12/30

To change 10 to 30, 10 must be multiplied 3. So, the numerator, 4 must be multiplied by 3.

Step 3: Compare the numerators of the equivalent fractions.
7/15?4/10
14/30?12/30
14/30>12/30
7/15>4/10

Since 14/30 and 12/30 have the same denominators, the larger fraction has the larger numerator.

14/30 is larger. 14/30 is the same as 7/15.

Therefore, 7/15 is the larger fraction.

Posted Date: 5/1/2013 7:12:32 AM | Location : United States

Ask an Expert

Related Discussions:- Explain comparing fractions with example, Assignment Help, Ask Question on Explain comparing fractions with example, Get Answer, Expert's Help, Explain comparing fractions with example Discussions

Write discussion on Explain comparing fractions with example
Your posts are moderated

Write your message here..

Related Questions

Word problem solving, the traffic light at three different road crossing ch... the traffic light at three different road crossing change after every 48 seconds, 72 seconds and 108 seconds respectively. if they change simultaneously at 7 a.m., at what time wil

Example of substitution method of linear equations, Describe some Example o... Describe some Example of substitution method of Linear Equations with solution.

Relation between hieght, volume=(1/3)(pi)(radius of base)2(height) curved ... volume=(1/3)(pi)(radius of base)2(height) curved surface area=(pi)(r)(l), r is radius of base and l is length of straight line connecting apex of cone with point on edge of base

Determine the determinant of matrix, Example Determinant:   Determine ... Example Determinant:   Determine the determinant of each of the following matrices. Solution : For the 2 x 2 there isn't much to perform other than to plug this in

one student is more in each row, The students of a class are made to stand... The students of a class are made to stand in complete rows. If one student is more in each row, there would be 2 rows less, and if one student is less in every row, there would be

Write first-order formulas over the relational symbols, Consider the unary ... Consider the unary relational symbols P and L, and the binary relational symbol On, where P(a) and I(a) encode that a is a point and a (straight) line in the 2-dimensional space, r

Solvable for p, p=0 p=0

Solve the subsequent quadratic equation, Solve the subsequent quadratic equ... Solve the subsequent quadratic equation: Solve the subsequent quadratic equation through taking the square roots of both sides. 3x 2 = 100 - x 2 Solution: Step 1

Exponents, sasaasasasa sasaasasasa

Trig, 1 1