Question

answer fast in detail

Answer 1

Answer:

= 30/37.

Step-by-step explanation:

1/{1/2+1/3+1/6/(3/4-1/3)}

= 1/{1/2+1/3+1/6/(3*3-1*4/12)}

=  1/{1/2+1/3+1/6/(9-4/12)}

=  1/{1/2+1/3+1/6/5/12}

= 1/{1/2+1/3+1/6/5/12}

= 1/{1/2+1/3+1/6*12/5}

= 1/{1/2+1/3+2/5}

= 1/{1*15+1*10+2*6/30}

= 1/{15+10+12/30}

=  1/{37/30}

= 1/37/30

= 1*30/37

= 30/37.

Answer 2

$1 \div ( \frac{1}{2} + \frac{1}{3} + \frac{1}{6} \div ( \frac{3}{4} - \frac{1}{3} )) \\ 1 \div (\frac{1}{2} + \frac{1}{3} + \frac{1}{6} \div ( \frac{9 - 4}{12} )) \\ 1 \div (\frac{1}{2} + \frac{1}{3} + \frac{1}{6} \div ( \frac{5}{12} )) \\ 1 \div (\frac{1}{2} + \frac{1}{3} + \frac{1}{6} \times \frac{12}{5} ) \\ 1 \div (\frac{1}{2} + \frac{1}{3} + \frac{2}{5} ) \\ 1 \: \div ( \frac{15 + 10 + 12}{30} ) \\ 1 \div \frac{37}{30} \\ 1 \times \frac{30}{37} \\ = \frac{30}{37}$
option ( a) is correct ✔️✔️