35/3 simplified
Understand the Problem
The question is asking to simplify the fraction 35/3. To do this, we divide 35 by 3 to express it in its simplest form.
Answer
$ 11 \frac{2}{3} $
Answer for screen readers
The simplified form of the fraction $ \frac{35}{3} $ is $ 11 \frac{2}{3} $.
Steps to Solve
- Perform the Division First, we need to divide the numerator (35) by the denominator (3) to simplify the fraction.
$$ 35 \div 3 = 11 \text{ remainder } 2 $$
This means we have 11 whole parts and a remainder of 2.
- Express as a Mixed Number To express the result as a mixed number, we take the whole part (11) and the remainder (2) over the original denominator (3).
Thus, we write it as:
$$ 11 \frac{2}{3} $$
- Final Mixed Number Now we have the fraction $ \frac{35}{3} $ expressed in its simplest mixed number form:
$$ 11 \frac{2}{3} $$
The simplified form of the fraction $ \frac{35}{3} $ is $ 11 \frac{2}{3} $.
More Information
A mixed number combines a whole number and a proper fraction. In this case, 35 divided by 3 gives us 11 whole parts and 2 parts out of 3 remaining, which nicely illustrates how improper fractions can be converted into a more understandable format.
Tips
- Not identifying the whole number and remainder correctly: Ensure that the division is performed carefully to distinguish between the whole number part and the remainder.
- Forgetting to express the remainder over the original denominator: Always remember to format the remainder as a fraction.
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