Answer: 1/6
Step-by-step explanation:
<u>Given:</u>
4/9 and 11/18
<u>Solve:</u>
<em>STEP ONE: Make the denominators equal by determining the LCM</em>
LCM = Least Common Multiple
First Five multiples of 9 = 9, 18, 27, 36, 45
First FIve multiples of 18 = 18, 36, 54, 72, 90
As we can see from the list above, both 18 and 36 overlap, however, 18 is less than 36. Therefore, 18 is the LCM.
<em>STEP TWO: Compare the size and determine the greater one.</em>
4/9 = (4 × 2) / (9 × 2) = 8/18
11/18 = 11/18
Since 11 > 8, therefore, 11/18 is greater than 8/18
<em>STEP THREE: Find the difference between the two fractions.</em>
11/18 - 4/9
=11/18 - 8/18
=(11 - 8) / 18
= 3 / 18
= 1/6
Hope this helps!! :)
Please let me know if you have any questions
The factors of 12 are 1, 2, 3, 4, 6, and 12 .
The factors of 32 are 1, 2, 4, 8, 16, and 32 .
The product of √3 and 5√3 in its simplest form is 15.
<h3>What is a rational number?</h3>
A rational number is defined as a numerical representation of a part of a whole that represents a fraction number.
It can be a/b of two integers, a numerator a, and a non-zero denominator b.
To determine the product of √3 and 5√3
So, (√3 )(5√3)
⇒ 5 (√3 )(√3 )
⇒ 5(3)
⇒ 15
The result is rational because 15, can be expressed as a ratio of two integers can be 15/1 of two integers, a numerator 15, and denominator 1 ( which is a non-zero).
Thus, the result is rational.
Learn more about rational numbers here:
brainly.com/question/10354322
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