Question

Write the mixed number as an improper fraction. $6\frac{2}{5}$

Short answer

The improper fraction is $\frac{32}{5}$.

Step-by-step solution

Step -1 - Apply the concept of fractions

In this, simply use the concept of converting mixed fraction into improper fraction in this way like $a\frac{b}{c}=\frac{(a\times c)+b}{c}=\frac{b+\left(ac\right)}{c}$.

Step -2 – Find the improper fraction

Here, the fraction is $6\frac{2}{5}$

Now, multiply the denominator to the whole number and then add that number to the numerator to get the desired fraction. $a\frac{b}{c}=\frac{(a\times c)+b}{c}=\frac{b+\left(ac\right)}{c}$

$6\frac{2}{5}=\frac{(6\times 5)+2}{5}=\frac{30+2}{5}=\frac{32}{5}$.

So, the improper fraction is $\frac{32}{5}$.