Question

find each of the following products

Answer 1

done .... not too hard ...

Answer 2

Answer:

Results of following product is given below :

Step-by-step explanation:

Rational Number :

• A number which can be written in the form of p/q, where p,q ∈ Z and q ≠ 0 is called rational number.

Multiplication of two rational numbers :

• Let a/b be rational number. Then, a is called the numerator of rational number and b is called the denominator of rational number.
• Let this rational number be multiplied to another rational number c/d. Then,

$\frac{a}{b} \times \frac{c}{d} = \frac{(a \times c)}{(b \times d)}$

Solution :

• $\frac{1}{2} \times \frac{3}{4} = \frac{1 \times 3}{2 \times 4} = \frac{3}{8}$

• $\frac{2}{3} \times \frac{( - 7)}{9} = \frac{2 \times ( - 7)}{3 \times 9} = \frac{ - 14}{27}$

• $\frac{( - 2)}{5} \times \frac{( - 3)}{11} = \frac{( - 2) \times ( - 3)}{5 \times 11} = \frac{6}{55}$

• $\frac{( - 3)}{7} \times \frac{4}{9} = \frac{( - 3) \times 4}{7 \times 9} = \frac{ ( - 1) \times 4}{7 \times 3} = \frac{ - 4}{21}$

• $\frac{( - 5)}{7} \times \frac{7}{11} = \frac{( - 5) \times 7}{7 \times 11} = \frac{( - 5)}{11}$

• $\frac{( - 15)}{12} \times \frac{( - 18)}{25} = \frac{( - 15) \times ( - 18)}{12 \times 25} = \frac{( - 3) \times ( - 18)}{12 \times 5} \\ = \frac{( - 1) \times ( - 18)}{4 \times 5} = \frac{9}{10}$

• $\frac{( - 14)}{15} \times \frac{9}{16} = \frac{ (- 7) \times 3}{5 \times 8} = \frac{ - 21}{40}$

• $\frac{3}{2} \times \frac{( - 5)}{7} = \frac{3 \times ( - 5)}{2 \times 7} = \frac{ - 15}{14}$