Question

2/5×-3/7-1/14-3/7×3/5 find using suitable properties

Answer 1

Answer:

- $\frac{1}{2}$

Step-by-step explanation:

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

Use commutative property of addition

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

Use associative property of addition

[$\frac{2}{5}$ × (- $\frac{3}{7}$) + (- $\frac{3}{7}$) × $\frac{3}{5}$] - $\frac{1}{14}$

Use distributive property

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

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