Question

Write the mixed number as an improper fraction. $5\frac{1}{3}$

Short answer

The improper fraction is $\frac{16}{3}$.

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 $5\frac{1}{3}$.

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

localid="1649254156923" $5\frac{1}{3}=\frac{(5\times 3)+1}{3}=\frac{15+1}{3}=\frac{16}{3}$.

So, the improper fraction is localid="1649254163481" $\frac{16}{3}$.