Examples of improper fractions:
- \(\frac{5}{3}\)
- \(\frac{7}{4}\)
- \(\frac{8}{2}\)
- \(\frac{44}{12}\)
To convert an improper fraction to a mixed number:
1. Divide the numerator by the denominator using long division or a calculator.
2. The whole number in the quotient is the whole number part of the mixed number.
3. The remainder becomes the numerator of the fraction part.
4. The denominator of the fraction part remains the same as the denominator of the improper fraction.
Examples:
Converting \(\\frac{5}{3} \) to a mixed number,
- \(\frac{5}{3}= 1 \ R \ 2 \) , therefore \( \frac{5}{3}=1\frac{2}{3}\)
Converting \( \frac{8}{2} \) to a mixed number,
- \( \frac{8}{2} = 4 \) therefore \( \frac{8}{2} = 4\)
Converting a mixed number to an improper fraction:
Multiply the whole number by the denominator of the fractional part
2. Add the result from previous step with the original numerator of the fractional part. This becomes the new numerator in the improper fraction form
3. Copy the original denominator of the original improper fraction form as our denominator.
Examples:
- \(1\frac{2}{3} =\frac{ (1*3)+2}{3}=\frac{5}{3}\)