Question

By what number should multiplied in
$5 \frac{5}{6}$
To get
$3 \frac{1}{3}$
​

Answer 1

Step-by-step explanation:

$let \: the \: number \: be \: x \\ 5 \frac{5}{6} \times x = 3 \frac{1}{3} \\ after \: simplifying \: this \\ \frac{35}{6} \times x = \frac{10}{3} \\ x = \frac{10}{3} \times \frac{6}{35} \\ x = \frac{4}{7}$

Hope it's helpful for you!

Answer 2

$\red{\bigstar}\underline{\underline{\textsf{\textbf{ Solution\::- }}}}$

$\dashrightarrow\qquad\sf Let \: the \: number \: be \:x.$

$\dashrightarrow\qquad\sf According \: to \: ques,$

$\dashrightarrow\qquad\sf 5\dfrac{5}{6} \times x = 3\dfrac{1}{3}$

$\dashrightarrow\qquad\sf \dfrac{35}{6} \times x = \dfrac{10}{3}$

$\dashrightarrow\qquad\sf x = \dfrac{10}{3} \times \dfrac{6}{35}$

$\dashrightarrow\qquad\sf x = \dfrac{4}{7}$

$\red{\bigstar}\underline{\underline{\textsf{\textbf{ Therefore,\::- }}}}$

$\large\sf\red {The \: required \: number \: is \: \dfrac{4}{7}}$

$\red{\bigstar}\underline{\underline{\textsf{\textbf{ Verification\::- }}}}$

$\dashrightarrow\qquad\sf \dfrac{35}{6} \times \dfrac{4}{7} = \dfrac{10}{3}$

$\dashrightarrow\qquad\sf \dfrac{140}{42} = \dfrac{10}{3}$

$\dashrightarrow\qquad\sf \dfrac{10}{3} = \dfrac{10}{3}$

$\dashrightarrow\qquad\sf LHS = RHS$

$\dashrightarrow\qquad\sf Hence \: verified$