5 2/6 – 2 3/6 in simplest form
The Correct Answer and Explanation is:
Answer:
526−236=2565 \dfrac{2}{6} – 2 \dfrac{3}{6} = 2 \dfrac{5}{6}562−263=265
Simplified Explanation :
To solve the problem 526−2365 \dfrac{2}{6} – 2 \dfrac{3}{6}562−263, we follow a step-by-step process to subtract mixed numbers.
First, we break down both mixed numbers into their whole number and fractional parts:
- 526=5+265 \dfrac{2}{6} = 5 + \dfrac{2}{6}562=5+62
- 236=2+362 \dfrac{3}{6} = 2 + \dfrac{3}{6}263=2+63
Now subtract the whole numbers and the fractions separately:
- Whole numbers: 5−2=35 – 2 = 35−2=3
- Fractions: 26−36=−16\dfrac{2}{6} – \dfrac{3}{6} = -\dfrac{1}{6}62−63=−61
Here, we notice that we are subtracting a larger fraction from a smaller one, which results in a negative fraction. We cannot leave the answer as a combination of a positive whole number and a negative fraction. Instead, we adjust the whole number portion to account for the negative fraction.
To fix this, we borrow 1 from the whole number part:
- Take 1 from 3, which becomes 2.
- Convert the 1 we borrowed into sixths, which is 66\dfrac{6}{6}66.
- Add that to the fraction: 66−16=56\dfrac{6}{6} – \dfrac{1}{6} = \dfrac{5}{6}66−61=65
So now we have:
- Whole number: 2
- Fraction: 56\dfrac{5}{6}65
Final answer: 2562 \dfrac{5}{6}265
We should also simplify if possible. The fraction 56\dfrac{5}{6}65 is already in simplest form since 5 and 6 have no common factors other than 1. Therefore, the final simplified answer is 256\boxed{2 \dfrac{5}{6}}265.
This method ensures accuracy and helps maintain proper mathematical structure when working with mixed numbers.
