Find the Value and Express as a Rational Number in Standard Form: − 36 125 ÷ − 3 75

Find the value and express as a rational number in standard form:

\[\frac{- 36}{125} \div \frac{- 3}{75}\]

Sum

\[\frac{- 36}{125} \div \frac{- 3}{75} = \frac{- 36}{125} \times \frac{75}{- 3} = \frac{36}{5}\]

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What should be subtracted from \[\left( \frac{3}{4} - \frac{2}{3} \right)\] to get\[\frac{- 1}{6}?\]

Simplify:

Divide:

Find (x + y) ÷ (x − y), if

Find a rational number between −3 and 1.

Find ten rational numbers between \[\frac{1}{4} \text{and} \frac{1}{2} .\]

For each set of rational number, given below, verify the associative property of addition of rational number:

(ii) `(-2)/5, 4/15 and (-7)/10`

For each set of rational number, given below, verify the associative property of addition of rational number:

(iii) `(-7)/9,2/-3 and (-5)/18`

State, true or false

`(-13)/25` is smaller than `(-25)/13`

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`(-7)/(10), (-8)/(15) and (-11)/(30)`