Explain comparing fractions with example, Mathematics

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







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
Related Questions
why cant we find the value of 1 upon zero


geometry fbw = 128 saf= 104 what is rfd

What is a lattice? Which of the following graphs are lattice and why? Ans:  Let (L, ≤) be a poset. If each subset {x, y} consisting of any two elements of L, comprises a glb (I

Disjointed Sets or Mutually Exclusive Two sets are said to be mutually or disjointed exclusive whether they have no elements in common. Sets P and R underneath are disjointed

If $2,000 is invested in a savings account offering interest at a rate of 3.5% per year, compounded continuously, how fast is the balance growing after 8 years? (Round your answer

Multiply and divide by root2, then root2/root2(sinx+cosx) = root2(sinx/root2 + cosx/root2) = root2(sinx cos45+cosx sin45) = root2(sin(x+45))

Let D(subscript12) = ({x,y : x^2 = e ; y^6 = e ; xy =(y^-1) x}) a) Which of the following subsets are subgroups of D(subscript12) ? Justify your answer. i) {x,y,xy,y^2,y^3,e}


A Pythagorean triple is a set of positive integers (a,b,c) like  a2 + b2 = c2.  Write a function "ispythag" that will receive 3 positive integers (a, b, c in that order) and will r