Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

which is greater, 3/4 or 11/16? how can you be sure?

Sagot :

when comparing fractions we need to bring the fractions to the same denominator
to compare and see which is bigger or smaller.
the denominators of the 3/4 and 11/16 are 4 and 16 respectively.
we can mulitply both numerator and denominator of 3/4 by 4 so that the denominator is now 16,
then the fraction [tex] \frac{3*4}{4*4} = \frac{12}{16} [/tex] 
now we can compare the 2 fractions 12/16 and 11/16,
when denominator is same then bigger numerator is the bigger fraction. therefore 3/4 is the greater fraction
IsrarAwan
The correct answer is: 3/4 is greater than 11/16.

Explanation:
Method 1 (Simplistic way):
3/4 can be represented as 12/16.

Now if we compare 12/16 with 11/16, we can see that 11 is less than 12 (cancelling 16). Hence 3/4 is greater than 11/16.

Method 2 (Long method):
The simplest method is to familiarize yourself with the division operation. For example:

If we have the following rational number: 8/4, the division tells us how many 4s are needed to make 8. In this case, there are 2 fours needed to make 8.


Likewise:
3/4: There are 0.75 fours needed to make 3 as 0.75*4 = 3.
11/16: There are 0.6875 sixteens needed to make 11 as 0.6875*16 = 11.

It means that 0.75 > 0.6875; therefore, 3/4 > 11/16.
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.