Math, asked by rashi6648, 8 months ago

Multiply 103/45 by the reciprocal of 20/27

Answers

Answered by jtg07

Step-by-step explanation:

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103/45 × 27/20.

103×27/45×20

2781/900

3.09 is your answer

Answered by Mihir1001

$\huge{\underline{\mathfrak{\textcolor{blue}{Answer :}}}}$

$\huge\boxed{\fcolorbox{red}{pink}{309/100}}$ $\LARGE{ or }$ $\huge\boxed{\fcolorbox{red}{pink}{3.09}}$

$\huge{\underline{\mathrm{\textcolor{red}{Step-by-step \: \: explanation :}}}}$

$\LARGE{\underline{\mathtt{\textcolor{violet}{Given :-}}}}$

$\Large{a = \frac{103}{45} }$

$\Large{b = \frac{20}{27} }$

$\LARGE{\underline{\mathtt{\textcolor{green}{To \: \: find :-}}}}$

product of ( a ) and ( $\bold{ \frac{1}{b} }$ , i.e.: reciprocal of b )

$\LARGE{\underline{\mathtt{\textcolor{teal}{Concept \: \: used :-}}}}$

Multiplication of Fractions

$\LARGE{\underline{\mathtt{\textcolor{blue}{Solution :-}}}}$

$\Large{ \mapsto a \times \frac{1}{b} }$

$\Large{ = \frac{103}{45} \times \frac{1}{20/27} }$

$\Large{ = \frac{103}{45} \times \frac{27}{20} }$

$\Large{ = \frac{103}{_5 \: \cancel{45} } \times \frac{ \cancel{27} \: {}^{3} }{20} }$

$\Large{ = \frac{103}{5} \times \frac{3}{20} }$

$\Large{ = \frac{103 \times 3}{5 \times 20} }$

$\Large{ = \frac{309}{100} }$

$\LARGE{\underline{\mathtt{\textcolor{magenta}{Conclusion :-}}}}$

result $=$ $\large\boxed{ \frac{309}{100} }$ or $\large\boxed{3.09}$

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