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

Explain introduction to non-euclidean geometry, Explain Introduction to Non...

Explain Introduction to Non-Euclidean Geometry? Up to this point, the type of geometry we have been studying is known as Euclidean geometry. It is based on the studies of the a

Trigonometry, Ashow that sec^2x+cosec^2x cannot be less than 4

Ashow that sec^2x+cosec^2x cannot be less than 4

Formula to calculate the surface area of basketball, Keith wants to know th...

Keith wants to know the surface area of a basketball. Which formula will he use? The surface area of a sphere is four times π times the radius squared.

Decision-making under conditions of risk, Decision-making Under Conditions ...

Decision-making Under Conditions of Risk With decision-making under conditions of risk all possible states of nature are known and the decision maker has sufficient knowledge

Number theory, formula for non negative solutions integral

formula for non negative solutions integral

POLYNOMIAL, HOW WE CAN FACTORISE 12X+7X+1

HOW WE CAN FACTORISE 12X+7X+1

Indices, advantages and disadvantages of paasche and laspeyres indices

advantages and disadvantages of paasche and laspeyres indices

Prove, Let Xn be a sequence of distinct real numbers. Defi ne E = {L : L is...

Let Xn be a sequence of distinct real numbers. Defi ne E = {L : L is a subsequential limit of Xn}. Prove E is closed.

Dora, dora and her family are driving to visit relatives for the holidays t...

dora and her family are driving to visit relatives for the holidays they travel 174 miles in 3 hours if they travel at a constant speed how many miles do they travel in one hourest

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