Question

$\frac{22}{6} + ( \frac{22}{7} + \frac{22}{?8} ) =$
$( \frac{22}{6} + \frac{22}{7} ) + \frac{22}{8} =$
please solve the problem​

Answer 1

Given:

$a)\ \frac{22}{6} +(\frac{22}{7} +\frac{22}{8} )=?\\\\b)\ (\frac{22}{6} +\frac{22}{7}) +\frac{22}{8}=?$

We have to solve the above expression.

• As we know that adding two or more numbers together is known as an addition.
• Addition as denoted by(+).

Following are the properties of addition:

1. Identity property of zero.
2. Inverse property.
3. Commutative property.
4. Associative property.

We are solving in the following way:

We have,

$a)\ \frac{22}{6} +(\frac{22}{7} +\frac{22}{8} )=?\\\\b)\ (\frac{22}{6} +\frac{22}{7}) +\frac{22}{8}=?$

Now,

$a)\ \frac{22}{6} +(\frac{22}{7} +\frac{22}{8} )\\\\=>\frac{22}{6} +(\frac{22\times8+22\times7}{7\times8} )\\\\=>\frac{22}{6} +(\frac{176+154}{56} )\\\\=>\frac{22}{6} +(\frac{330}{56} )\\\\=>\frac{22\times56+330\times6}{56\times6} \\\\=>\frac{803}{84}$

and

$\\\\b)\ (\frac{22}{6} +\frac{22}{7}) +\frac{22}{8}\\\\=>(\frac{22\times7+22\times6}{6\times7} )+\frac{22}{8} \\\\=>\frac{143}{21} +\frac{22}{8} \\\\=>\frac{143\times8+22\times21}{21\times8} \\\\=>\frac{803}{84}$

Hence, the solution of the above equation is$\frac{803}{84} ,\frac{803}{84}$.