Question

Verify (1/2 + 4/5)- 6/7 = 1/2 + (4/5 - 6/7) the property and Name the property

Answer 1

Answer:

This expression shows the associative property of addition.

Step-by-step explanation:

This expression shows the associative property of addition.

$(a+b)+c=a+(b+c)$

The given expression is

$(\frac{1}{2}+\frac{4}{5})-\frac{6}{7}= \frac{1}{2}+(\frac{4}{5}-\frac{6}{7})$

Rewrite the expression.

$(\frac{1}{2}+\frac{4}{5})+(-\frac{6}{7})= \frac{1}{2}+(\frac{4}{5}+(-\frac{6}{7}))$

$(\frac{13}{10}-\frac{6}{7})= (\frac{1}{2}+\frac{-2}{35})$

$\frac{91-60}{70} =\frac{35-4}{70}$

$\frac{31}{70} =\frac{31}{70}$

L.H.S=R.H.S

Hence proved