29/9 as a mixed number

Understand the Problem

The question is asking how to convert the improper fraction 29/9 into a mixed number. To solve this, we need to divide the numerator by the denominator to find the whole number part and the remainder.

Answer

The mixed number equivalent of the improper fraction $ \frac{29}{9} $ is $ 3 \frac{2}{9} $.

Steps to Solve

Divide the numerator by the denominator

To convert the improper fraction $ \frac{29}{9} $ into a mixed number, we first divide the numerator (29) by the denominator (9).

$$ 29 \div 9 = 3 \text{ R } 2 $$

This means that 29 divided by 9 gives us a quotient of 3 and a remainder of 2.

Write the whole number part

The whole number part of the mixed number comes from the quotient obtained in the previous step. Therefore, the whole number part is 3.

Formulate the fractional part

To create the fractional part of the mixed number, we take the remainder from the division, which is 2, and place it over the original denominator, 9.

So the fractional part is $ \frac{2}{9} $.

Combine the whole and fractional parts

Now, we combine the whole number part and the fractional part to create the mixed number.

Thus, the mixed number is $ 3 \frac{2}{9} $.

The mixed number equivalent of the improper fraction $ \frac{29}{9} $ is $ 3 \frac{2}{9} $.

More Information

Converting improper fractions to mixed numbers is a common skill in arithmetic. Mixed numbers are often easier to understand and visualize, especially in real-life applications like cooking or measuring.

Tips

Confusing the remainder with the whole number: Ensure to distinguish between the whole part (the quotient) and the part that remains (the remainder).
Forgetting to place the remainder over the original denominator when forming the fractional part: Always remember to use the original denominator for creating the fraction.

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