Question

what should be added to twice the rational number-7/3 to get 3/7 class :8
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Answer 1

Answer:

Let the rational number be \frac{a}{b}

b

a

.

Now, an equation can be formed.

Solve and find the value of \frac{a}{b}

b

a

.

2( \frac{-7}{3} ) + \frac{a}{b} = \frac{3}{7}2(

3

−7

)+

b

a

=

7

3

\frac{-14}{3} + \frac{a}{b} = \frac{3}{7}

3

−14

+

b

a

=

7

3

- \frac{14}{3} + \frac{a}{b} = \frac{3}{7}−

3

14

+

b

a

=

7

3

\frac{a}{b} = \frac{3}{7} + \frac{14}{3}

b

a

=

7

3

+

3

14

\frac{a}{b} = \frac{107}{21}

b

a

=

21

107

∴ The required rational number is \frac{107}{21}

21

107

.