5/6,3/8 The LCD is 2 24 48
1 answer:
<h3>The least common denominator is 24</h3>
<em><u>Solution:</u></em>
Given that,
We have to find the least common denominator
The denominators are 6, 8
List all prime factors for each number.
Prime Factorization of 6 is:
2 x 3
Prime Factorization of 8 is:
2 x 2 x 2
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
2, 2, 2, 3
Multiply these factors together to find the LCM
LCM = 2 x 2 x 2 x 3 = 24
Thus the least common denominator is 24
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Answer:
<em>The area of the trapezium is 168</em>
Step-by-step explanation:
<u>Area of a Trapezoid</u>
Given a trapezoid of parallel bases b1 and b2, and height h, the area is calculated with the formula:
The trapezoid in the figure has b1=15 and b2=27. We need to find the height. If we focus on triangle BCD, we can calculate the height as the distance EC by using the Pythagora's Theorem:
The side BC can be found as half the difference of the bases:
Solving for EC:
Now we have the height, calculate the area:
A = 168
The area of the trapezium is 168