Question

When a rational number is subtracted from $20\frac{3}{5}$ , it yields $18\frac{2}{3}$. The rational number will be .

• A. $1\frac{14}{15}$
• B. $\frac{15}{29}$
• C. $8\frac{11}{15}$
• D. $\frac{8}{15}$

Answer 1

The correct option is A $1\frac{14}{15}$

Let the rational number be x.
According to the given situation,
$20\frac{3}{5}-x=18\frac{2}{3}$
$\Rightarrow$ $\frac{103}{5}-x=\frac{56}{3}$
$\Rightarrow$ $x=\frac{103}{5}-\frac{56}{3}$
$\Rightarrow$ $x=\frac{309-280}{15}$
$\Rightarrow$ $x=\frac{29}{15}$
$\Rightarrow$ $x=1\frac{14}{15}$

Therefore, the required rational number is $1\frac{14}{15}$.