Answer:
the result of subtracting 1 and 1/2 from the sum of 4 and 2/3 and 5 and 2/5 is 257/30 = 8 and 39/40.
Explanation:
To find the result of subtracting 1 and 1/2 from the sum of 4 and 2/3 and 5 and 2/5, we need to first add the two summands:
4 and 2/3 + 5 and 2/5
To add these mixed numbers, we first need to find a common denominator. The least common multiple of 3 and 5 is 15.
4 and 2/3 can be written as an improper fraction with denominator 3:
4 and 2/3 = 4 x 3/3 + 2/3 = 12/3 + 2/3 = 14/3
5 and 2/5 can be written as an improper fraction with denominator 5:
5 and 2/5 = 5 x 5/5 + 2/5 = 25/5 + 2/5 = 27/5
Now we can add the two fractions with a common denominator of 15:
14/3 + 27/5 = (14 x 5)/(3 x 5) + (27 x 3)/(5 x 3) = 70/15 + 81/15 = 151/15
So, the sum of 4 and 2/3 and 5 and 2/5 is 151/15.
Now we can subtract 1 and 1/2 from this sum:
151/15 - 1 1/2
To subtract mixed numbers, we first need to convert 1 and 1/2 to an improper fraction:
1 and 1/2 = 1 x 2/2 + 1/2 = 2/2 + 1/2 = 3/2
Now we can subtract the fractions with a common denominator of 15:
151/15 - 3/2 = (151 x 2)/(15 x 2) - (3 x 15)/(2 x 15) = 302/30 - 45/30 = 257/30
Therefore, the result of subtracting 1 and 1/2 from the sum of 4 and 2/3 and 5 and 2/5 is 257/30.