Explain comparing fractions with example, Mathematics

Assignment Help:

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.


Related Discussions:- Explain comparing fractions with example

Generalized least squares regression, a. Estimate the following model,  C t...

a. Estimate the following model,  C t   =  β 0   +  β 1 * DI t +  ε t             Where C t = Aggregate Consumption Expenditure in Australia, quarterly data for the per

I am mathematics expert, i want some assignment for earning i am mathemati...

i want some assignment for earning i am mathematics expert plz provide us mathematics assignment as soon as possible

Components of the vector - calculus, Components of the Vector We should...

Components of the Vector We should indicate that vectors are not restricted to two dimensional (2D) or three dimensional space (3D). Vectors can exist generally n-dimensional s

Give an examples of simplifying fractions , Give an examples of Simplifying...

Give an examples of Simplifying Fractions ? When a fraction cannot be reduced any further, the fraction is in its simplest form. To reduce a fraction to its simplest form,

Probability of independent events, Q. Probability of Independent Events? ...

Q. Probability of Independent Events? Ans. Consider these two events:  {My name is Shirley} {The rain is falling} Are these events related to each other?  No.  My name

Fundamentals of math, When there are 4 dots how many chords are they

When there are 4 dots how many chords are they

Which expression below is equal to 5, Which expression below is equal to 5?...

Which expression below is equal to 5? The correct order of operations must be used here. PEMDAS tells you in which you should do the operations in the subsequent order: Pare

Dividing fractions by fractions with drawing.., how do I divide a fraction ...

how do I divide a fraction by a fraction by drawing a picture

Geometry, Determine the coordinates of the point equidistant from Salt Lake...

Determine the coordinates of the point equidistant from Salt Lake City and Helena

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd