Question

using appropriate properties find 1/2-1/6×-2/3+7/9×-1/6​

Answer 1

mark as brainliest please

Answer 2

Answer:

$\frac{1}{2} -\frac{1}{6} X\frac{-2}{3} +\frac{7}{9}X\frac{-1}{6}$ = $\frac{13}{27}$

Step-by-step explanation:

Given expression is  $\frac{1}{2} -\frac{1}{6} X\frac{-2}{3} +\frac{7}{9}X\frac{-1}{6}$

Recall the property

Distributive property of rational numbers

If a,b and c are any three rational numbers, then distributive property of multiplication over addition is given by

a×b+a×c = a×(b+c)

Solution:

$\frac{1}{2} - \frac{1}{6} X\frac{-2}{3} +\frac{7}{9}X\frac{-1}{6}$  =  $\frac{1}{2} + \frac{1}{6} X\frac{2}{3} +\frac{7}{9}X\frac{-1}{6}$

= $\frac{1}{2} + \frac{1}{6} X\frac{2}{3} +\frac{-7}{9}X\frac{1}{6}$

Applying distributive property with a = $\frac{1}{6}$, b = $\frac{2}{3}$ and c = $\frac{-7}{9}$ we get

= $\frac{1}{2} + \frac{1}{6}X [\frac{2}{3} +\frac{-7}{9}}]$

= $\frac{1}{2} + \frac{1}{6}X [\frac{2}{3} -\frac{7}{9}}]$

= $\frac{1}{2} + \frac{1}{6}X (\frac{6-7}{9} )$

= $\frac{1}{2} + \frac{1}{6}X (\frac{-1}{9} )$

= $\frac{1}{2} + \frac{-1}{54}$

= $\frac{27-1}{54}$

= $\frac{26}{54}$

= $\frac{13}{27}$

$\frac{1}{2} -\frac{1}{6} X\frac{-2}{3} +\frac{7}{9}X\frac{-1}{6}$ = $\frac{13}{27}$

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