Question

Without actual division, find which of the following fractions are terminating decimals :-
(iv) 25/128

Please show the full process!

Answer 1

$\huge✎\fbox \orange{QUE} {\colorbox{blue}{ST}}\fbox\green{ION}☟$

$\orange{\Large{\mathcal\colorbox{indigo}{Is 25/128 a Terminating Decimal}}}$

$\huge✍︎\fbox\orange{ÂŇ}\fbox{SW} \fbox\green{ÊŘ}:$

Brother/Sister your correct answer will be:-

$\purple{\huge{\mathcal\colorbox{pink}{Yes}}}$

Step-by-step Explanation:-

$\purple{The \: given \: number \: is} \: \orange{\boxed{\red{\frac{25}{128}}}}$

$\blue{Its \: HCF(25,128) = 1}$

$\therefore {{\purple{\boxed{\red{\frac{25}{128}}}}} \: {is \: in \: simplest \: form.}}$

$\red{Now, \: 128 = 2 \times 2 \times 2 \times 2 \times2 \times 2 \times2 \:[Prime \: Factorization]}$

$\orange{So, \: its \: prime \: factor \: is \: 2}$

$\green{Hence, \: {\orange{\boxed{ \red{\frac{25}{128}}}}} \: is \: a \: terminating \: decimal.}$

$\pink{꧁Hopes\:so\:that\:this\:will\:help\:you,꧂}$

$\huge\colorbox{orange}❤\colorbox{indigo}{\red{With\:Love}}\colorbox{orange}❤$

✌︎Thanking you, your one of the Brother of your 139 Crore Indian Brothers and Sisters.✌︎

$\large\red{\underbrace{\overbrace\mathbb{\colorbox{aqua}{\colorbox{blue}{\colorbox{purple}{\colorbox{pink}{\colorbox{green}{\colorbox{gold}{\colorbox{silver}{\textit{\purple{\underline{\red{《❀PŘÎ᭄ŇCĒ✿》࿐}}}}}}}}}}}}}}$

Answer 2

"Yes" will be the answer, Thank You.