4 frac{1}{2} times 4 frac{1}{3} - 8 frac{1}{3 | vedclass

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Question

(NONE) Given expression: $4 \frac{1}{2} 	imes 4 \frac{1}{3} - 8 \frac{1}{3} + 5 \frac{2}{3}$
Convert mixed fractions to improper fractions:
$= \fra

Vedclass · Accepted Answer

$ 16 \frac{5}{6}$

Vedclass · Answer

(NONE) Given expression: $4 \frac{1}{2} 	imes 4 \frac{1}{3} - 8 \frac{1}{3} + 5 \frac{2}{3}$
Convert mixed fractions to improper fractions:
$= \frac{9}{2} 	imes \frac{13}{3} - \frac{25}{3} + \frac{17}{3}$
Apply $BODMAS$ rule (Multiplication first):
$= (\frac{9}{2} 	imes \frac{13}{3}) - \frac{25}{3} + \frac{17}{3}$
$= \frac{39}{2} - \frac{25}{3} + \frac{17}{3}$
Combine the terms with the same denominator:
$= \frac{39}{2} + (\frac{-25 + 17}{3})$
$= \frac{39}{2} + (\frac{-8}{3})$
$= \frac{39}{2} - \frac{8}{3}$
Find a common denominator $(6)$:
$= \frac{39 	imes 3}{6} - \frac{8 	imes 2}{6}$
$= \frac{117}{6} - \frac{16}{6}$
$= \frac{101}{6}$
Convert back to mixed fraction:
$= 16 \frac{5}{6}$

$4 \frac{1}{2} \times 4 \frac{1}{3} - 8 \frac{1}{3} + 5 \frac{2}{3} = ?$

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