3/4 + 3/5 + 1/2
What is the answer
Please send with formula by Doing LCM
Answers
Answer:
ans:- 37/20
for process open the attachment.
Step-by-step explanation:
First lets add 3/4 and 3/5, to add these two fractions, we have to make the denominators of both the numbers same.
To make the denominators same, find the LCM of both the denominators, ie, LCM of 4 & 5.
To find LCM, lets prime factorise both these numbers,
4 = 2 x 2 = 2²
5 = 5 x 1
Now multiply the numbers,
LCM = 2² x 5
ie, 4 x 5 = 20.
So now lets make the denominators same,
To make the denominator of 3/4 to 20
lets multiply 3/4 with 5/5,
(NOTE: if you are multiplying the denominator, you have to multuply the numerator too with the same number.)
So, 3/4 x 5/5 = 15/20
Now lets make the denominator of 3/5 to 20,
3/5 x 4/4 = 12/20
Now lets add both the numbers,
12/20 + 15/20 = 27/20
Now lets add 1/2 to 27/20, By the same way lets find LCM and make the denominator same.
LCM of 2 and 20,
2 = 2 x 1
20 = 2 x 2 x 5 = 2² x 5
2 has the factor 2 and 5 has the factor 2², so we take 2² (biggest number).
So 2² x 5 = 4 x 5 = 20
1/2 x 10/10 = 10/20
Now, lets add both,
10/20 + 27/20 = 37/20