Question

Simplify :- $\large \sf \frac{12\frac{1}{3} }{12\frac{1}{4} }$

Answer 1

Hope it helps ❄️

Step-by-step explanation:

$\frac{37}{3} \div \frac{49}{4} \\ = \frac{37}{3} \times \frac{4}{49} \\ = \frac{148}{147} \\ = 1 \frac{1}{147}$

Answer 2

Required Solution :-

$\:$

${\sf{:\implies \dfrac{12 \dfrac{1}{3} }{12 \dfrac{1}{4} } }}$

$\:$

${\sf{:\implies \dfrac{ \dfrac{12 \times 3 + 1}{3} }{ \dfrac{12 \times 4 + 1}{4} } }}$

$\:$

${\sf{:\implies \dfrac{ \dfrac{37}{3} }{ \dfrac{49}{4} } }}$

$\:$

${\sf{:\implies \dfrac{ 37 \times 4 }{ 49 \times 3 } }}$

$\:$

${\sf{:\implies \dfrac{ 148 }{ 147 } }}$

$\:$

♪ Now we will convert it into mixed fraction ,

$\begin{gathered}\begin{gathered} \tt \: \: \: \: \: \: \: \: \: 1 \\ \tt 147\overline{| 148 } \\ \tt \: \: \: \: \: \: \: \underline{ - 147 }\\ \tt \: \: \: \: \: \: \: \: \: \: 1 \end{gathered} \end{gathered}$

$\:$

now we know that ,

• Divisor (D) - 147
• Quotient (Q) - 1
• Remainder (R) - 1

$\:$

♪ since ,

${\sf{:\implies Q \dfrac{ R }{ D } }}$

${\sf{:\implies \bold{1 \dfrac{ 1}{ 147 } }}}$