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Convert 43/9 into a mixed number.

Understand the Problem

The question is asking how to convert the improper fraction 43/9 into a mixed number. This involves dividing the numerator by the denominator to find the whole number part and determining the remainder for the fractional part.

Answer

$4 \frac{7}{9}$
Answer for screen readers

The mixed number corresponding to the improper fraction $\frac{43}{9}$ is $4 \frac{7}{9}$.

Steps to Solve

  1. Divide the Numerator by the Denominator

To convert the improper fraction $\frac{43}{9}$ into a mixed number, we start by dividing the numerator (43) by the denominator (9).

  1. Perform the Division

When we divide, we find:

$$ 43 \div 9 = 4 \quad \text{(whole number part)} $$

This means there are 4 whole parts in the fraction.

  1. Calculate the Remainder

Next, we need to find the remainder of this division:

$$ \text{Remainder} = 43 - (9 \times 4) $$

Calculating this, we have:

$$ \text{Remainder} = 43 - 36 = 7 $$

  1. Write the Mixed Number

Finally, we can express the mixed number. The whole number part is 4, and the fractional part is the remainder over the denominator:

$$ \text{Mixed Number} = 4 \frac{7}{9} $$

The mixed number corresponding to the improper fraction $\frac{43}{9}$ is $4 \frac{7}{9}$.

More Information

Converting improper fractions to mixed numbers is useful in simplifying problems and makes it easier to interpret the value. A mixed number consists of a whole number and a proper fraction.

Tips

  • Forgetting to calculate the remainder properly. Make sure to multiply the whole number part by the denominator and subtract from the numerator.
  • Confusing the fractional part with the improper fraction itself. Remember to use the remainder over the original denominator for the fractional part.
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