Question

What is the value of the expression?
(5 1/4 - 2 1/2) + (6 2/3 - 3 1/2)
Enter your answer as a mixed number in simplest form by filling in the boxes.


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Answer 1

Given info:- $\textsf{Find the value of the expression: }$

$\rm \: \bigg(5 \frac{1}{4} - 2 \frac{1}{2} \bigg) + \bigg(6 \frac{2}{3} - 3 \frac{1}{2} \bigg)$

$\rm \: = \bigg(\frac{20 + 1}{4} - \frac{4 + 1}{2} \bigg) + \bigg( \frac{18 + 2}{3} - \frac{6 + 1}{2} \bigg)$

$\rm \: = \bigg( \frac{21}{4} - \frac{5}{2} \bigg) + \bigg( \frac{20}{3} - \frac{7}{2} \bigg)$

$\rm \: = \bigg( \frac{21 - 10}{4} \bigg) + \bigg( \frac{4 0 - 21}{6} \bigg)$

$\rm \: = \frac{11}{4} + \frac{19}{6}$

$\rm \: = \frac{33 + 38}{12}$

$\rm \: = \frac{71}{12} = \boxed{5 \frac{11}{12} } \approx5.916....$

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