Mr tony gave 4 7 of a sum of money to his wife his two sons shared the remaining amount equally what fraction of the sum of money did each of his son receive?
Since Mr. Tony gave 4/7 of the sum of money to his wife, the fraction remaining is 1 - 4/7 = 7/7 - 4/7 = 3/7.
Since his two sons share the remaining amount equally, each son receives (3/7) / 2 = 3/7 * 1/2 = 3/14 of the sum of money. Answer: \boxed{\frac{3}{14}}.
Let's calculate the fraction of the sum of money each son received step-by-step:
1. Mr. Tony gave 4/7 of the sum of money to his wife.
2. This means that the remaining fraction is 1 - 4/7 = 3/7.
3. Since there are two sons, they will share this remaining fraction equally.
4. To find the fraction each son received, we divide the remaining fraction (3/7) by the number of sons (2).
3/7 ÷ 2 = 3/7 × 1/2 = 3/14.
Therefore, each son received 3/14 of the sum of money.
To find the fraction of the sum of money that each son received, we need to determine the amount of money that was left after Mr. Tony gave 4/7 of the sum to his wife.
Let's assume the sum of money Mr. Tony had was represented by the fraction 1/1 or the whole amount.
Mr. Tony gave 4/7 of the sum to his wife. So, we can calculate the amount left by subtracting 4/7 from 1/1:
1/1 - 4/7
To perform this subtraction, we need to find a common denominator. The least common multiple (LCM) of 1 and 7 is 7.
Multiplying the denominators by their respective missing factors, we get:
7/7 - 4/7
Now we can combine the numerators:
(7-4)/7 = 3/7
After deducting 4/7 from the whole amount, there is 3/7 of the sum left.
Since the two sons shared the remaining amount equally, we divide the 3/7 by 2 to find the fraction of the sum each son received:
(3/7) ÷ 2
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(3/7) * (1/2)
Multiply the numerators: 3 * 1 = 3
Multiply the denominators: 7 * 2 = 14
Therefore, each son received 3/14 of the sum of money.