Question

Using appropriate properties evaluate 2/5*-3/5-1/14-3/7*3/5

Answer 1

Answer:

$\frac{2}{5}\cdot \frac{-3}{5}-\frac{1}{14}-\frac{3}{7}\cdot \frac{3}{5}=-\frac{199}{350}\quad \left(\mathrm{Decimal:\quad }\:-0.56857\dots \right)$

Step-by-step explanation:

Given

$\frac{2}{5}\cdot \frac{-3}{5}-\frac{1}{14}-\frac{3}{7}\cdot \frac{3}{5}\\We\ know\\ \frac{2}{5}\cdot \frac{-3}{5}=-\frac{6}{25}\\We\ get\\=-\frac{6}{25}-\frac{1}{14}-\frac{3}{7}\cdot \frac{3}{5}\\again\ \frac{3}{7}\cdot \frac{3}{5}=\frac{9}{35}\\=-\frac{6}{25}-\frac{1}{14}-\frac{9}{35}\\\\\mathrm{Least\:Common\:Multiplier\:of\:}25,\:14,\:35:\quad 350\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\=-\frac{84}{350}-\frac{25}{350}-\frac{90}{350}$

now

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{-84-25-90}{350}\\\\\mathrm{Subtract\:the\:numbers:}\:-84-25-90=-199\\\\\\= -199/{350}$

Answer 2

Answer:

- 1/2

Step-by-step explanation:

Given Using appropriate properties evaluate 2/5*-3/7-1/14-3/7*3/5

We can write this as

(2/5)(- 3/7) - 1/14 - (3/7)(3/5) Using commutative property

we can also write it as

3/7(- 2/5 - 3/5) - 1/14 (distributive property)

3/7(-5/5) - 1/14

3/7(- 1) - 1/14

3/7(- 1) - 1/14

- 3/7 - 1/14

- 1/2

If the question is 2/5 - 3/5. - 1/14. - 3/7. 3/5

- 6/25 . - 1/14 . - 9/35

   - 84 - 25 - 90 / 350

   = - 199 / 350