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Sagot :
Given the expression:
[tex]\text{ 22}\frac{\text{ 3}}{4}\text{ }\div\text{ }\frac{1}{8}[/tex]To be able to divide the given fractions, let's first convert the mixed number into an improper fraction.
[tex]\text{ 22 }\frac{3}{4}\text{ = }\frac{3\text{ + (22 x 4)}}{4}\text{ = }\frac{3\text{ + 88}}{4}[/tex][tex]\text{ 22 }\frac{3}{4}\text{ = }\frac{91}{4}[/tex]Let's now proceed with the division.
In dividing fractions, you reciprocate the divisor and transform the operation from division into multiplication.
We get,
[tex]\text{ 22}\frac{\text{ 3}}{4}\text{ }\div\text{ }\frac{1}{8}\text{ = }\frac{91}{4}\text{ }\div\text{ }\frac{1}{8}\text{ }[/tex][tex]\text{ = }\frac{91}{4}\text{ x }\frac{8}{1}\text{ }[/tex][tex]\text{ = }\frac{91\text{ x 8}}{4\text{ x 1}}\text{ = }\frac{728}{4}[/tex][tex]\text{ = }182[/tex]Therefore, the answer is 182.
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