Question

Which of the following conversions are correct?

• A. $\frac{50}{9}=5\frac{5}{9}$
• B. $\frac{35}{4}=8\frac{2}{4}$
• C. $\frac{12}{5}=2\frac{5}{9}$
• D. $\frac{18}{5}=3\frac{3}{5}$

Answer 1

Answer: (A), (D)

$\frac{18}{5}=3\frac{3}{5}$

Only option A and D are correct as shown below

Let's divide $\frac{50}{9}$ using long division to convert into it's mixed fraction

$\frac{50}{9}$= 5 R 5

$\therefore \frac{50}{9}\text{can be written as}\text{quotient}\frac{\text{remainder}}{\text{divisor}}i.e.5\frac{5}{9}$

Let's divide $\frac{18}{5}$ using long division to convert into it's mixed fraction

$\frac{18}{5}=3R3$

$\therefore \frac{18}{5}\text{can be written as}\text{quotient}\frac{\text{remainder}}{\text{divisor}}i.e.3\frac{3}{5}$

Similaraly for options b and c are as follows,

$Optionb\Rightarrow \frac{35}{4}=8R3$
$\therefore \frac{35}{4}\text{can be written as}\text{quotient}\frac{\text{remainder}}{\text{divisor}}i.e.8\frac{3}{4}$
Hence the given option $8\frac{2}{4}$ is incorrect

$Optionc\Rightarrow \frac{12}{5}=2R2$
$\therefore \frac{12}{5}\text{can be written as}\text{quotient}\frac{\text{remainder}}{\text{divisor}}i.e.2\frac{2}{5}$
Hence the given option $2\frac{5}{9}$ is incorrect