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What are mixed fractions and how do you convert mixed fractions into improper fractions and vice versa?
Solution:
Improper fractions are those fractions where the numerators are greater than the denominators.
Example: $\frac{6}{5}$, $\frac{11}{3}$, $\frac{15}{9}$, and so on are improper fractions
Mixed fractions are those fractions where there is a whole number part and a proper fraction part.
Example: $1\frac{1}{2}, 3 \frac{1}{3}, 10 \frac{1}{4}$, and so on are mixed fractions
Improper fractions can be converted into Mixed fractions
By dividing the numerator by denominator and writing the quotient as whole number part of mixed fraction and remainder/denominator as the fraction part of the mixed fraction.
Example: $\frac{9}{4} = 2 \frac{1}{4}; \frac{11}{5} = 2 \frac{1}{5}$ and so on
Mixed fractions can be converted into improper fractions
Example: $4 \frac{1}{3} = \frac{4\times3+1}{3} = \frac{13}{3}; 12 \frac{1}{7} = \frac{12\times7+1}{7} = \frac{85}{7}$
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