Fractional part function

Q.

Verify that $\frac{a}{(b+c)}\ne \frac{a}{b}+\frac{a}{c}$ for each of the following values of $a$, $\mathit{b}\mathbf{}$and $c$.

$a=12,b=-4,c=2$

Q.

Express the sum in the form of $\frac{p}{q}$: $-\frac{3}{4}+\frac{2}{3}+\frac{-4}{5}$.

Q.

Given two distinct non-zero whole numbers $a$ and $b$, we have $a÷b=b÷a$

1. True
2. False

Q.

By what number should $\frac{-33}{16}$ be divided to get $\frac{-22}{8}$ ?

Q.

Find the values of $-\frac{8}{4},\frac{-8}{4}$ and $\frac{8}{-4}$ what do you notice? Is this true for $-\frac{a}{b}\frac{-a}{b}$ and $\frac{a}{-b}$ when $a$ and $b$ are integers? Explain.

Q. Find the value of {0.23} + {-0.23} + {-1} + {0} + {2.4} + {-2.4}
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Q.

How many real numbers satisfy the relation [x] = $\frac{3}{2}$ {x}.

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