Subtract the sum of 3 5/9 and 3 1/3 from the sum of 5 5/6 and 4 1/9
Answers
Given,
Four mixed fractions: 3 5/9, 3 1/3, 5 5/6, and 4 1/9
To find,
The difference between the sum of 3 5/9 and 3 1/3 from the sum of 5 5/6 and 4 1/9.
Solution,
We can simply solve this mathematical problem using the following process:
Mathematically,
If a b/c is a mixed fraction, then its value is calculated as: (a×c + b)/c
{Statement-1}
Now, according to the question and statement-1;
The sum of 3 5/9 and 3 1/3
= 3 5/9 + 3 1/3
= (9×3 + 5)/9 + (3×3 + 1)/3
= (27+5)/9 + (9+1)/3
= 32/9 + 10/3 = 32/9 + 30/9 = 62/9
And, the sum of 5 5/6 and 4 1/9
= 5 5/6 + 4 1/9
= (6×5 + 5)/6 + (4×9 + 1)/9
= (30+5)/6 + (36+1)/9
= 35/6 + 37/9
= 105/18 + 74/18
= 179/18
So, the difference between the sum of 3 5/9 and 3 1/3 from the sum of 5 5/6 and 4 1/9
= (sum of 5 5/6 and 4 1/9) - (sum of 3 5/9 and 3 1/3)
= 179/18 - 62/9
= 179/18 - 124/9
= (179-124)/9
= 55/9
Hence, the difference between the sum of 3 5/9 and 3 1/3 from the sum of 5 5/6 and 4 1/9 is equal to 55/9.
Answer:
The correct answer is 3/ 1/ 8.