Question

The sum of two rational numbers 4/5 if one numbers is 2/15 .find the other number

Answer 1

Given :-

The sum of two rational numbers 4/5 if one numbers is 2/15

To Find :-

Other number

Solution :-

Let the other number be x

x + 2/15 = 4/5

x = 4/5 - 2/15

x = 12 - 2/15

x = 10/15

x = 2/3

∴ Other number is 2/3

Answer 2

$\huge{\underline{{\sf\underline{{\bold\blue{Given}} : - - - }}}}$

• the sum of two rational numbers 4/5
• one number is 2/15

$\huge{\underline{{\sf\underline{{\bold\blue{TO \: FIND}} : - - - }}}}$

• find the other rational number

$\huge{\underline{{\sf\underline{{\bold\blue{</p><p>Solution}} : - - - }}}}$

given data sum of two rational numbers be 4/5 and one rational number be 2/15 .let the other rational number be x

from question we get

$\longmapsto\sf \qquad\: x + \dfrac{2}{15} = \dfrac{4}{5} \\ \\ \\ \\ \longmapsto\sf \qquad\:x = \frac{4}{5} - \frac{2}{15}$

now we take LCM of denominator

• LCM of 5 and 15 = 15

$\longmapsto\sf \qquad\:x = \frac{4 \times 3}{5 \times 3} - \frac{2 \times 1}{15 \times 1} \\ \\ \\ \longmapsto\sf \qquad\:x = \frac{12}{15} - \frac{2}{15} \\ \\ \\ \longmapsto\sf \qquad\:x = \frac{12 - 2}{15} \\ \\ \\ \longmapsto\sf \qquad\:x = \cancel \frac{{10} ^{2} }{15 _{3}} \\ \\ \\ \longmapsto\sf \qquad\: \red{ \boxed{ \underline{\frak{x = \frac{2}{3} }}}}$

$\large \sf \: \blue{ \underline{therefore \: the \: other \: rational \: number \: be \: \: \frac{2}{3} } }$