Question

Write the fraction or mixed number as a decimal.

$\mathbf{3}\frac{\mathbf{4}}{\mathbf{25}}$

Short answer

$\mathbf{3}\mathbf{.}\mathbf{16}$ is the decimal form of fraction $\mathbf{3}\frac{\mathbf{4}}{\mathbf{25}}$

Step-by-step solution

Step 1. Given information

Consider, the mixed number $3\frac{4}{25}$ provided in question

Step 2. Calculation 

To convert mixed number $3\frac{4}{25}$ as decimal, it is needed to simply the mixed fraction in improper fraction

Therefore,

$\begin{array}{l}\Rightarrow 3\frac{4}{25}=\frac{79}{25}\\ \text{multiply\hspace{0.17em}each\hspace{0.17em}term\hspace{0.17em}of\hspace{0.17em}fraction\hspace{0.17em}by\hspace{0.17em}}4\\ \Rightarrow 3\frac{4}{25}=\frac{79\times 4}{25\times 4}\\ \Rightarrow 3\frac{4}{25}=\frac{316}{100}\\ \Rightarrow 3\frac{4}{25}=3.16\end{array}$

Hence,

$3.16$ is the decimal form of fraction $3\frac{4}{25}$.