Question

The sum of 5/2 and its reciprocal is​

Answer 1

$\huge\bold{{\pink{Q}}{\blue{U}}{\green{E}}{\red{S}}{\purple{T}}{\orange{I}}{\pink{O}}{\blue{N}}{\green{❥}}}$

The sum of ${\frac{5}{2}}$ and its reciprocal is ?

$\huge\bold{{\pink{T}}{\blue{O}}{\green{  }}{\red{F}}{\purple{I}}{\orange{N}}{\pink{D}}{\green{❥}}}$

The sum.

$\huge\bold{{\pink{S}}{\blue{O}}{\green{L}}{\red{U}}{\purple{T}}{\orange{I}}{\pink{O}}{\blue{N}}{\green{❥}}}$

We know that:

$\pink{\boxed{\blue{The  reciprocal  of  {\frac{a}{b}}  is  {\frac{b}{a}}.}}}$

According to condition,

${\frac{5}{2}}-{\frac{2}{5}}$

= ${\frac{[(5×5)-(2×2)]}{10}}$

= ${\frac{(25-4)}{10}}$

= ${\frac{21}{10}}$

= $2{\frac{1}{10}}$

$\huge\bold{{\pink{H}}{\blue{E}}{\green{N}}{\red{C}}{\purple{E}}{\green{❥}}}$

Sum = $2{\frac{1}{10}}$

$\huge\bold{{\pink{T}}{\blue{H}}{\green{E}}{\red{R}}{\purple{E}}{\orange{F}}{\pink{O}}{\blue{R}}{\red{E}}{\green{❥}}}$

The sum of ${\frac{5}{2}}$ and its reciprocal is $2{\frac{1}{10}}$.

$\huge\bold{{\pink{D}}{\blue{O}}{\green{N}}{\red{E}}{\purple{࿐}}}$

$\bold{\boxed{{\blue{✿}}{\pink{H}}{\blue{O}}{\green{P}}{\red{E}}{\purple{  }}{\orange{T}}{\pink{H}}{\blue{I}}{\green{S}}{\red{  }}{\purple{H}}{\orange{E}}{\pink{L}}{\blue{P}}{\green{S}}{\red{  }}{\purple{Y}}{\orange{O}}{\pink{U}}{\blue{✿}}}}$

Answer 2

➤ Answer :-

Reciprocal of $\tt\frac{5}{2}$ is $\tt\frac{2}{5}$

$\dashrightarrow \tt \frac{5}{2} + \frac{2}{5}$

LCM of 2 and 5 is 10.

$\dashrightarrow \tt \frac{5 \times 5}{2 \times 5} + \frac{2 \times 2}{5 \times 2}$

$\dashrightarrow \tt \frac{25}{10} + \frac{4}{10} = \frac{25 + 4}{10}$

$\dashrightarrow \tt \frac{29}{10} = 2 \frac{9}{10}$

$\Huge\therefore$The answer is $\tt 2 \frac{9}{10}$