Question

HELP AnD SHOW UR WORK please, A recipe calls for 5.25 grams of chocolate. If you have 102.375 grams of chocolate, how many batches,of the recipe can you make?
102.375 ÷ 5.25 = b
which number is correct
19
19.5
20
20.5

Answer 1

$[Hello,BrainlyUser]$

Answer:

19.5

Step-by-step explanation:

Given that;

Recipe calls for 5.25 grams of chocolate

Question Ask;

If you have 102.375 grams of chocolate, how many batches,of the recipe can you make?

Note;

102.375 ÷ 5.25 = b

102.375 ÷ 5.25 = Solution

Solve;

$\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:100$

$\frac{10237.5}{525}$

$\mathrm{Write\:the\:problem\:in\:long\:division\:format}$

$\begin{matrix}525\overline{|\smallspace10237.5}\:\:\:\:\:\:\:\:\:\end{matrix}$

$Divide\;1023\;by\;525\;to\;get\;1$

$\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace1\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 525\overline{|\smallspace10237.5}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace5\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace4\emptyspace9\emptyspace8\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}$

$Divide\;4987\;by\;525\;to\;get\;9$

$\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace19\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 525\overline{|\smallspace10237.5}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace5\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace4\emptyspace9\emptyspace8\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}$

$\:\:\:\:\:\:\:\:\:\underline{\emptyspace47\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\:\:\:\:\:\:\:\:\:\emptyspace2\emptyspace6\emptyspace2\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}$

$Divide\;2625\;by\;525\;to\;get\;5$

$\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace19.5\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 525\overline{|\smallspace10237.5}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace5\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace4\emptyspace9\emptyspace8\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}$

$\:\:\:\:\:\:\:\:\:\underline{\emptyspace47\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\:\:\:\:\:\:\:\:\:\emptyspace2\emptyspace6\emptyspace2\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}$

$\:\:\:\:\:\:\:\:\:\underline{\emptyspace26\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\:\:\:\:\:\:\:\:\:\emptyspace\emptyspace\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}$

$\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{102.375}{5.25}\:\mathrm{is}\:19.5$

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