The number which is subtracted from \(\frac { -6 }{ 11 } \) to get \(\frac { 8 }{ 9 } \) is

The sum of the digits of the denominator in the simplest form of \(\frac { 112 }{ 528 } \)

\(\frac { 3 }{ 4 } \div \left( \frac { 5 }{ 8 } +\frac { 1 }{ 2 } \right) \) = 

\(\frac { 1 }{ 2 } -\left( \frac { 3 }{ 4 } -\frac { 5 }{ 6 } \right) \neq \left( \frac { 1 }{ 2 } -\frac { 3 }{ 4 } \right) -\frac { 5 }{ 6 } \) illustrates that subtraction does not satisfy the ________ property for rational numbers.

\(\frac { -19 }{ 5 } \) lies between the integers ______________ and ________________

The value of \(\frac { -5 }{ 12 } +\frac { 7 }{ 15 } \) = ________________

If -3 x \(\frac { -6 }{ 11 } \) = \(\frac { -6 }{ 11 } \times x\) is _______________  

If \(x\times \frac { -55 }{ 63 } =\frac { -55 }{ 63 } \times x=1\) then x is called the _______________ of \(\frac { 55 }{ 63 } \)

The multiplicative inverse of -1 is ________.

0 is the smallest rational number

The rational number that does not have a reciprocal is 0.

The rational numbers that are equal to their additive inverses are 0 and –1.

The additive inverse of \(\frac { -11 }{ -17 } \) is \(\frac { 11 }{ 17 } \)

The multiplicative inverse exists for all rational numbers

List five rational numbers between
–2 and 0

Draw the number line and represent the following rational numbers on it.
\(\frac { -8 }{ 3 } \)

Using average, write 3 rational numbers between \(\frac { 14 }{ 5 } \) and \(\frac { 16 }{ 3 } \)

Evaluate: \(\frac{9}{132} \times \frac{-11}{3}\)

Divide: -2 by \(\frac { -6 }{ 15 } \)

Arrange the following rational numbers in ascending and descending order
\(\frac { -17 }{ 10 } ,\frac { -7 }{ 5 } ,0,\frac { -2 }{ 4 } ,\frac { -19 }{ 20 } \)

In a constituency, \(\frac { 19 }{ 25 } \) of the voters had voted for candidate A whereas \(\frac { 7 }{ 50 } \) had voted for candidate B. Find the rational number of the voters who had voted for others.

A piece of wire is \(\frac { 4 }{ 5 } \) m long.  If it is cut into 8 pieces of equal length, how long will each piece be?

Show that \(\left( \frac { \frac { 7 }{ 9 } -5 }{ \frac { 4 }{ 3 } } \right) \div \frac { 3 }{ 2 } +\frac { 4 }{ 9 } -\frac { 1 }{ 3 } =-2\)

Explain why the statements are true?
0.4>0.386

Write the following decimal numbers as rationals.
1.15

Find \(\frac { -5 }{ 8 } \times 7\)

Simplify \(=\frac { -12 }{ 10 } +\left( \frac { -90 }{ 15 } \right) -\left( \frac { 3 }{ 8 } \right) \)

Simplify \(\frac { 5 }{ 12 } +\frac { -5 }{ 18 } -\frac { 7 }{ 24 } \)