Question

Write the sum of 0.3333and 0.4444 in fraction

Answer 1

Answer:

$= > 0.33333 + 0.44444 \\ \\ = > \frac{3}{9} + \frac{4}{9} \\ \\ = > \frac{7}{9}$

Answer 2

Answer:

Sum of 0.3333and 0.4444 in fraction is  $\frac{7}{9}$

Step-by-step explanation:

Let $x_{1}=0.3333333 \ldots$

$\begin{aligned}&\Longrightarrow 10 x_{1}=3.33333333 \ldots \\&\Longrightarrow 10 x_{1}=3+0.333333 \ldots \\&\Longrightarrow 10 x_{1}=3+x_{1} \\&\Longrightarrow 9 x_{1}=3 \\&\Longrightarrow x_{1}=\frac{3}{9}\end{aligned}$

* Similarly :-

$\begin{aligned}&\Longrightarrow x_{2}=0.444444 \ldots \\&\Longrightarrow 10 x_{2}=4+0.444444 \ldots . \\&\Longrightarrow 9 x_{2}=4 \\&\Longrightarrow x_{2}=\frac{4}{9}\end{aligned}$

$\star$ Now add them :-

$\Longrightarrow x_{1}+x_{2}=\frac{3}{9}+\frac{4}{9}=\frac{7}{9}$