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.

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
in 1970 a record 1.5 of rain fell in one minute at Basse Terre, guadaloupe in the caribbnean.at this rate, how much rain fell in 3 seconds or 0.05 of a minutes?

2(sin 6 ?+cos 6 ?) - 3(sin 4 ?+cos 4 ?)+1 = 0 Ans:    (Sin 2 ?)3  + (Cos 2 ?)3-3 (Sin 4 ?+(Cos 4 ?)+1=0 Consider (Sin 2 ?)3  +(Cos 2 ?)3 ⇒(Sin 2 ?+Cos 2 ?)3-3 Sin 2 ?Co

Your factory has a machine for drilling holes in a sheet metal part.  The mean diameter of the hole is 10mm with a standard deviation of 0.1mm. What is the probability that any

Graphical Method While drawing the graph on a natural scale, the independent variables are marked along the horizontal line and corresponding dependen

A line has the equation 2y=-3x+1. Find an equation of a line parallel to this line that has a y-intercept of -2.

Evaluate following integrals.                       ( (1 - (1 /w) cos (w - ln w) dw Solution In this case we know how to integrate only a cosine therefore let's makes th

you want to share 34 pencils among 6 friends .How many would each friend get?

how do mathematical ideas grow?

f(x)=sin x+cos x in the interval {0,90}