Question

By what no should
$5 \frac{2}{3}$
be multiplied to get
$12 \frac{3}{4}$

​

Answer 1

Step-by-step explanation:

${\huge{\boxed{\sf{\pink{☞Answe࿐★}}}}}$

Let the number be= x

$5 \frac{2}{3}$ + x = $12 \frac{3}{4}$

$5 \frac{2}{3} = \frac{17}{3} \\ 12 \frac{3}{4} = \frac{51}{4}$

$\frac{17}{3} + x = \frac{51}{4} \\ x = \frac{51}{4} - \frac{17}{3}$

LCM of 4 and 3= 12

$\frac{51}{4} \times \frac{3}{3} = \frac{153}{12} \\ \frac{17}{4} \times \frac{3}{3} = \frac{51}{12}$

$x = \frac{51}{4} - \frac{17}{3} \\ x = \frac{153}{12} - \frac{51}{12} \\ x = \frac{153 - 51}{12} \\ x = \frac{102}{12} = \frac{51}{3} \\ x = \frac{51}{3}$

$\displaystyle{\implies\underline{\boxed{\pink{\sf\:x\:=\: \frac{51}{3} }}}} \\ </p><p>\displaystyle{\implies\underline{\boxed{\red{\sf\:x\:=\:17}}}}</p><p>$

Therefore ,The number added is 17

Answer 2

$\huge\sf\underline{Question}:$
● What number should 5⅔ be multiplied to get 12¾ .

$\\\huge\sf\underline{Answer}:$

$\large \implies \dfrac{9}{4}$

$\\\\\huge\sf\underline{Solution}:$

Let us consider the number be x.
So, it will be :
$\:\:\:\:\large\sf \red\bigstar \: 5\frac{2}{3} \times x = 12\frac{3}{4}$

$\\ \star\textbf{Convert mixted fraction to simple fraction}$

$\\ \implies \frac{17}{3} \times x = \frac{51}{4}$

$\\ \implies x = \frac{ \: ^3 \cancel{51}}{4} \times\frac{3}{\cancel{17}}$

$\\ \implies x = \dfrac{3\times 3}{4} \\ \\ \implies x = \dfrac{9}{4} \\ \\ \implies \underline{\boxed{\mathfrak{\pink{x = \frac{9}{4}}}}}$

$\large\sf Therefore,$
$\color{blue}\textbf{The number will be 9/4 }$