Question

simplify 1/2÷(4/5 of 5/6)-1/4​

Answer 1

Answer:

−(54 of 65)+41=121

Step-by-step explanation:

Given : Expression \frac{1}{2}-(\frac{4}{5}\text{ of }\frac{5}{6})+\frac{1}{4}21−(54 of 65)+41

To find : Simplify the expression ?

Solution :

Expression \frac{1}{2}-(\frac{4}{5}\text{ of }\frac{5}{6})+\frac{1}{4}21−(54 of 65)+41

=\frac{1}{2}-(\frac{4}{5}\times \frac{5}{6})+\frac{1}{4}=21−(54×65)+41

=\frac{1}{2}-\frac{2}{3}+\frac{1}{4}=21−32+41

=\frac{6-8+3}{12}=126−8+3

=\frac{1}{12}=121

Therefore, \frac{1}{2}-(\frac{4}{5}\text{ of }\frac{5}{6})+\frac{1}{4}=\frac{1}{12}21−(54 of 65)+41=121

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Answer 2

Step-by-step explanation:

$\frac{1}{2} \div ( \frac{4}{5} \: of \: \frac{5}{6}) - \frac{1}{4}$

$= > \frac{1}{2} \div ( \frac{4}{5} \times \frac{5}{6} ) - \frac{1}{4}$

$= > \frac{1}{2} \div \frac{2}{3} - \frac{1}{4}$

$= > \frac{1}{2} \times \frac{3}{2} - \frac{1}{4}$

$= > \frac{3}{4} - \frac{1}{4}$

$= > \frac{3 - 1}{4}$

$= > \frac{2}{4} = \frac{ 1}{2}$

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