Three people share a sum of money.
The first receives 2/7 and the second receives a 2/5 share of the money.
What fracion does the third receive?
2/7 = 10/35
2/5 = 14/35
(35/35) - (10/35 + 14/35) = ?
To find the fraction of money that the third person receives, we need to determine the remaining fraction after the first and second person's shares have been subtracted from the total.
Let's start by finding the common denominator between 7 and 5, which is 35. Then, we can calculate the amount received by the first and second persons:
First person's fraction: 2/7 * 35/35 = 70/245
Second person's fraction: 2/5 * 35/35 = 70/175
Now, we need to subtract the fractions received by the first and second persons from the total:
Total fraction received by the first two persons: 70/245 + 70/175 = (70*5 + 70*7)/(245*5) = 910/1225
To find the fraction received by the third person, we need to subtract this total fraction from 1:
Fraction received by the third person = 1 - 910/1225
= (1225 - 910)/1225
= 315/1225
Therefore, the third person receives a fraction of 315/1225 of the total money.