# What is the improper fraction for 9/6

Question
Fractions
What is the improper fraction for $$\displaystyle\frac{{9}}{{6}}$$

2020-12-23
An improper fraction is a fraction with a numerator greater than the denominator. The fraction $$\displaystyle\frac{{9}}{{6}}$$ is then an improper fraction but it is not a simplified improper fraction.
To simplify the fraction, we need to find a common factor that we can divide out. Since both 9 and 6 have a common factor of 3, we can then factor the numerator and denominator of the
fraction to $$\displaystyle\frac{{9}}{{6}}=\frac{{{3}{\left({3}\right)}}}{{{2}{\left({3}\right)}}}$$. Dividing out the common factor of 3 then gives $$\displaystyle\frac{{9}}{{6}}=\frac{{{3}{\left({3}\right)}}}{{{2}{\left({3}\right)}}}=\frac{{3}}{{2}}$$

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