Chapter 5, Problem 1A

Express the mixed number $7\frac{3}{16}$ as an improper fraction.

To determine

Express mixed number to improper fraction.

Answer to Problem 1A

The improper fraction of $7\frac{3}{16}$ is $\frac{115}{16}$.

Explanation of Solution

Given:

The given mixed fraction is $7\frac{3}{16}$.

Concept used:

Multiply the denominator with whole number and then add to numerator to obtain the numerator value for improper fraction whereas the denominator will remain same.

Calculation:

Multiply the denominator with whole number, $16$ and $7$ as follows:

  $\begin{array}{l}=16\times 7\\ =112\end{array}$

Therefore, the number to be added to numerator fraction is $112$.

Add $112$ and $3$ with same denominator $16$ as follows:

  $\begin{array}{l}=\frac{112+3}{16}\\ =\frac{115}{16}\end{array}$

Thus, the improper fraction of $7\frac{3}{16}$ is $\frac{115}{16}$.

Conclusion:

The improper fraction of $7\frac{3}{16}$ is $\frac{115}{16}$.