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Sagot :
Given the expression:
[tex]\text{ 2 }\frac{1}{3}\text{ }\div\text{ 2}\frac{3}{4}[/tex]In dividing mixed numbers, you must first transform the mixed numbers into improper fractions.
We get,
[tex]\text{ 2}\frac{1}{3}\text{ = }\frac{(2\text{ x 3) + 1}}{3}\text{ = }\frac{6\text{ + 1}}{3}\text{ = }\frac{7}{3}[/tex][tex]2\frac{3}{4}=\frac{(2\text{ x 4) + 3}}{4}\text{ = }\frac{8\text{ + 3}}{4}\text{ = }\frac{11}{4}[/tex]Let's now proceed with the division.
[tex]\text{ 2 }\frac{1}{3}\text{ }\div\text{ 2}\frac{3}{4}\text{ = }\frac{7}{3}\text{ }\div\text{ }\frac{11}{4}\text{ = }\frac{7}{3}\text{ x }\frac{4}{11}\text{ = }\frac{7\text{ x 4}}{3\text{ x 11}}[/tex][tex]\text{ = }\frac{28}{33}[/tex]Therefore, the quotient is 28/
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