Question

Ex 10 va rog repede!

Answer 1

a)

$\frac{1}{2} \div \frac{1}{3} \div \frac{1}{6} = \frac{1}{2} \times \frac{3}{1} \times \frac{6}{1} = \frac{18}{2} = 9$

b)

$\frac{1}{2} \div ( \frac{1}{3} \div \frac{1}{6} ) = \frac{1}{2} \div ( \frac{1}{3} \times \frac{6}{1} ) = \frac{1}{2} \div \frac{6}{3} = \frac{1}{2} \times \frac{3}{6} = \frac{3}{12} = \frac{1}{4}$

c)

$\frac{1}{2} \div ( \frac{1}{3} + \frac{1}{6} ) = \frac{1}{2} \div ( \frac{2}{6} + \frac{1}{6} ) = \frac{1}{2} \div \frac{3}{6} = \frac{1}{2} \times \frac{6}{3} = \frac{6}{6} = 1$

d)

$( \frac{1}{2} + \frac{1}{3} ) \div \frac{1}{6} =( \frac{3}{6} + \frac{2}{6} ) \times \frac{6}{1} = \frac{5}{6} \times \frac{6}{1} = \frac{30}{6} = 5$

e)

$( \frac{1}{2} - \frac{1}{3} ) \div \frac{1}{6} = ( \frac{3}{6} - \frac{2}{6} ) \times \frac{6}{1} = \frac{1}{6} \times \frac{6}{1} = \frac{6}{6} = 1$
f)

$\frac{1}{2} \times \frac{1}{3} \div \frac{1}{6} = \frac{1}{6} \times \frac{6}{1} = \frac{6}{6} = 1$