Write the following as rational numbers in their standard forms:

A. 35%

B. 1.2

C.

D. 240 ÷ (– 840)

E. 115 ÷ 207

Given thatandare two rational numbers with different denominators and both of them are in standard form. To compare these rational numbers we say that:

(a) if p × s < r × q

(b) if _______ = ______

(c) if p × s > r × q

In each of the following cases, write the rational number whose numerator and denominator are respectively as under:

(a) 5 – 39 and 54 – 6

(b) (–4) × 6 and 8 ÷ 2

(c) 35 ÷ (–7) and 35 –18

(d) 25 + 15 and 81 ÷ 40

Find a rational number exactly halfway between:

A.

B.

C.

D.

Taking and find :

(a) the rational number which when added to x gives y.

(b) the rational number which subtracted from y gives z.

(c) the rational number which when added to z gives us x.

(d) the rational number which when multiplied by y to get x.

(e) the reciprocal of x + y.

(f) the sum of reciprocals of x and y.

(g) (x ÷ y) × z

(h) (x – y) + z

(i) x + (y + z)

(j) x ÷ (y ÷ z)

(k) x – (y + z)