Convert 22/4 into a mixed number.
Understand the Problem
The question is asking how to convert the improper fraction 22/4 into a mixed number. To solve this, we need to divide 22 by 4 to find the whole number part and then express the remainder as a fractional part.
Answer
$ 5 \frac{1}{2} $
Answer for screen readers
The mixed number representation of the improper fraction $ \frac{22}{4} $ is $ 5 \frac{1}{2} $.
Steps to Solve
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Divide the numerator by the denominator To convert the improper fraction $ \frac{22}{4} $ to a mixed number, we first perform the division of the numerator (22) by the denominator (4).
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Calculate the whole number part Divide 22 by 4: $$ 22 \div 4 = 5 $$ This means the whole number part is 5.
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Find the remainder Next, we need to calculate the remainder of the division: $$ 22 - (4 \times 5) = 22 - 20 = 2 $$ The remainder is 2.
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Construct the mixed number Now we can construct the mixed number by combining the whole number part and the fractional part: $$ 5 \frac{2}{4} $$ We can simplify $\frac{2}{4}$ to $\frac{1}{2}$.
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Final mixed number Thus, the mixed number representation of the improper fraction $ \frac{22}{4} $ is: $$ 5 \frac{1}{2} $$
The mixed number representation of the improper fraction $ \frac{22}{4} $ is $ 5 \frac{1}{2} $.
More Information
Mixed numbers are useful for expressing fractions in a more intuitive form. In this case, $ 5 \frac{1}{2} $ means there are 5 whole units plus an additional half unit.
Tips
- Forgetting to simplify the fractional part. Always check if the fraction can be reduced.
- Incorrectly performing the division, leading to an erroneous whole number part.
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