Question

Using appropriate properties find. 2/5×(-3/7) -1/6×3/2+1/14×2/5​

Answer 1

Answer:

2/5×(-3/7)-1/6×3/2+1/14×2/5

-6/35-1/6×3/2+1/4×2/5

-6/35-1/4+1/35

LCM of 35,4,35=140

-24-35-4/140

-59-4/140

-63/140

-9/140(Ans.)

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Answer 2

Answer:

$\frac{2}{5} X (\frac{-3}{7}) - \frac{1}{6} X \frac{3}{2} + \frac{1}{14} X \frac{2}{5}$  = $\frac{-11}{28}$

Step-by-step explanation:

To find,

$\frac{2}{5} X (\frac{-3}{7}) - \frac{1}{6} X \frac{3}{2} + \frac{1}{14} X \frac{2}{5}$

Rearranging the terms we get,

$\frac{2}{5} X (\frac{-3}{7}) + \frac{1}{14} X \frac{2}{5} - \frac{1}{6} X \frac{3}{2}$

By applying distributive property we get

= $\frac{2}{5} ( (\frac{-3}{7}) + \frac{1}{14} ) - \frac{1}{6} X \frac{3}{2}$

= $\frac{-1}{7} - \frac{-1}{4}$

= $\frac{-4-7}{28}$

= $\frac{-11}{28}$

$\frac{2}{5} X (\frac{-3}{7}) - \frac{1}{6} X \frac{3}{2} + \frac{1}{14} X \frac{2}{5}$  = $\frac{-11}{28}$

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