56/3 simplified
Understand the Problem
The question is asking to simplify the fraction 56/3. This involves dividing 56 by 3 and expressing it either as a fraction or a mixed number.
Answer
$ 18 \frac{2}{3} $
Answer for screen readers
The simplified form of the fraction $ \frac{56}{3} $ is $ 18 \frac{2}{3} $.
Steps to Solve
- Divide the Numerator by the Denominator
To simplify the fraction $ \frac{56}{3} $, we start by dividing 56 by 3.
$$ 56 \div 3 = 18 $$
- Determine the Remainder
Now, we find the remainder of this division.
$$ 56 = 3 \times 18 + 2 $$
So the remainder is 2.
- Write as a Mixed Number
Now we can express the fraction as a mixed number. The integral part stays as 18 and we write the leftover as $ \frac{2}{3} $.
Thus,
$$ \frac{56}{3} = 18 \frac{2}{3} $$
The simplified form of the fraction $ \frac{56}{3} $ is $ 18 \frac{2}{3} $.
More Information
When you simplify a fraction this way, you're converting it into a mixed number that shows both the whole number and the remainder part in fraction form. It's often useful for dealing with real-world contexts where whole units are involved.
Tips
One common mistake is forgetting to account for the remainder correctly and only focusing on the quotient. To avoid this, always check how much of the original numerator is left after dividing.
