29/7 as a mixed number

Understand the Problem

The question is asking how to convert the improper fraction 29/7 into a mixed number. To solve this, we will need to divide 29 by 7 to find the whole number part and the remainder for the fractional part.

Answer

$4 \frac{1}{7}$
Answer for screen readers

The mixed number form of the improper fraction $\frac{29}{7}$ is $4 \frac{1}{7}$.

Steps to Solve

  1. Divide the numerator by the denominator

Start by dividing the numerator (29) by the denominator (7). To do this, perform the division:

$$ 29 \div 7 = 4 \quad \text{(whole number part)} $$

  1. Find the remainder

Next, calculate the remainder from the division: Multiply the whole number part (4) by the denominator (7) and subtract from the numerator (29):

$$ \text{Remainder} = 29 - (4 \times 7) = 29 - 28 = 1 $$

  1. Write the mixed number

Now that you have the whole number part and the remainder, you can write the mixed number. The mixed number consists of the whole number part and the fraction made from the remainder over the denominator:

$$ 4 \frac{1}{7} $$

The mixed number form of the improper fraction $\frac{29}{7}$ is $4 \frac{1}{7}$.

More Information

Converting improper fractions to mixed numbers is a common task in math, especially in understanding how to represent numbers in different forms. Mixed numbers are often easier to visualize and work with in certain contexts, such as cooking or carpentry.

Tips

  • Forgetting to calculate the remainder correctly which can lead to incorrect mixed number representation.
  • Not writing the mixed number correctly, mixing up whole number and fraction parts.

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