Question

suo of
The sum
of two rational number is1 if one of
the number is 5/20, find the other​

Answer 1

Answer :-

• The other rational number is 3/4.

To find :-

• The other rational number.

Step-by-step explanation :-

Let the other number be "x".

It has been given that :-

• One of the numbers is 5/20.

• The sum of these two rational numbers is 1, which means that the sum of 5/20 and x is 1.

Therefore,

$\sf\dfrac{5}{20} + x = 1$

Transposing 5/20 from LHS to RHS, changing it's sign,

$\sf x = 1 - \dfrac{5}{20}$

The LCM of 1 and 20 is 20, so subtracting the fractions using their denominators,

$\sf x = \dfrac{1 \times 20 - 5 \times 1}{20}$

On simplifying,

$\sf x = \dfrac{20 - 5}{20}$

Subtracting 5 from 20,

$\sf x = \cancel{\dfrac{15}{20}}$

Reducing 15/20 to it's simplest form,

$\underline{ \boxed{ \sf x = \dfrac{3}{4}}}$

• Hence, the other rational number is 3/4.

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V E R I F I C A T I O N

• To check our answer, let's add 5/20 and 3/4 and see whether their sum is 1.

$\longmapsto \sf\dfrac{5}{20} + \dfrac{3}{4}$

$\longmapsto \sf \dfrac{5 \times 1 + 3 \times 5}{20}$

$\longmapsto \sf \dfrac{5 + 15}{20}$

$\sf \longmapsto \cancel{\dfrac{20}{20}}$

$\sf \longmapsto 1$

The sum of 5/20 and 3/4 is 1.

Hence verified!