In a school 1/5 th of the girls and 1/8 th of boys took part in a school camp. Find friction of the total strength of took part in the camp
Well if 1/5th of the girls and 1/8th of the boys when we put this as a whole fraction, we get 13/40th of the grade went to the camp. We do this by making both fractions have a common demoninator (bottom) then simply adding them to find fraction of boys and girls(all of the grade)
We would have to know how many boys and girls there were.
That won"t work. Just test it with 2 very different amounts.
Let's assume there are 1000000 boys and 5 girls. 1/8 of 1000000 is 125,000. 1/5 of 5 is 1. So 125,001 out of 1,000,005 people went. That is (a little more than) 12.5%. Your fraction of 13/40 is 32.5% and I am not quite sure of the reasons why you picked that method.
Using different numbers, assume there are 8 boys and 5 girls. That's 2 people out of 13. That's 15.38%. That's quite different from our other number.
The ONLY way to do this is to assume (quite poorly) that the number of boys and girls are even. OR to find out how many of each there are. At least that's all I can think of unless I am having a stupid moment, which I am known for. :-)
2/13
Yes, correct. The fraction of the total number of students who took part in the camp is 2/13.
To find the fraction of the total strength that took part in the camp, we need to first find the fraction of girls and boys who participated separately, and then add these fractions together.
Let's assume there are a total of G girls and B boys in the school.
According to the given information, 1/5 th of the girls took part in the camp. So, the fraction of girls who participated is 1/5.
Similarly, 1/8 th of the boys took part in the camp. So, the fraction of boys who participated is 1/8.
To find the fraction of the total strength, we add these fractions together: (1/5) + (1/8).
To add these fractions, we need to find the least common multiple (LCM) of 5 and 8, which is 40.
Now, we can rewrite the fractions with a common denominator of 40.
(1/5) * (8/8) = 8/40
(1/8) * (5/5) = 5/40
Adding these fractions: 8/40 + 5/40 = 13/40
Therefore, the fraction of the total strength that took part in the camp is 13/40.