3
Hence, ,
is the required rational number.
7
Worksheet 2
- 3
1. In each of the following cases, show that the rational numbers are equivalent
7
and
35
- 15
12
20
5
and
(ii)
3
(0)
and
9
99
al numbers are not equivalen
Answers
Answer:
Given few pairs of rational number we have to prove the pairs of rational number are equivalent.
Option (i): \frac{4}{9}
9
4
and \frac{44}{99}
99
44
\frac{44}{99}
99
44
Taking 11 common from numerator as well as from denominator
\frac{4\times 11}{9\times 11}
9×11
4×11
=\frac{4}{9}=
9
4
Hence equivalent
Option (ii): \frac{7}{-3}
−3
7
and \frac{35}{-15}
−15
35
\frac{35}{-15}
−15
35
Taking 5 common from numerator as well as from denominator
\frac{5\times 7}{5\times -3}
5×−3
5×7
=\frac{7}{-3}=
−3
7
Hence equivalent
Option (4): \frac{-3}{5}
5
−3
and \frac{-12}{20}
20
−12
\frac{-12}{20}
20
−12
Taking 4 common from numerator as well as from denominator
\frac{4\times -3}{4\times 5}
4×5
4×−3
=\frac{-3}{5}=
5
−3
Hence equivalent
Step-by-step explanation: