Find the LCM and HCF of 2.5, 0.5 and 0.175.

12.5
25
37.5
417.5

Answer:- 1

Explanation:-

Solution:

\begin{aligned} 2.5 = \frac{25}{10}; \\ 0.5 = \frac{5}{10}; \\ 0.175 = \frac{175}{1000}; \end{aligned}

$\eqalign{ & 2.5 = \frac{{25}}{{10}}; \cr & 0.5 = \frac{5}{{10}}; \cr & 0.175 = \frac{{175}}{{1000}}; \cr}$
Now,
LCM of two or more fractions is given by:

\begin{aligned} \frac{LCM of Numerators}{HCF of Denominators} \\ Thus, \\ \frac{LCM of 25, 5, 175}{HCF of 10, 10, 1000} \\ = \frac{175}{10} \\ = 17.5 \end{aligned}

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Now,
LCM of two or more fractions is given by:

\begin{aligned} \frac{LCM of Numerators}{HCF of Denominators} \\ Thus, \\ \frac{LCM of 25, 5, 175}{HCF of 10, 10, 1000} \\ = \frac{175}{10} \\ = 17.5 \end{aligned}

$\eqalign{ & \frac{{{\text{LCM}}\,{\text{of}}\,{\text{Numerators}}}}{{{\text{HCF}}\,{\text{of}}\,{\text{Denominators}}}} \cr & {\text{Thus,}} \cr & \frac{{{\text{LCM}}\,{\text{of}}\,25,\,5,\,175}}{{{\text{HCF}}\,{\text{of}}\,10,\,10,\,1000}} \cr & = \frac{{175}}{{10}} \cr & = 17.5 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} 2.5 = \frac{25}{10}; \\ 0.5 = \frac{5}{10}; \\ 0.175 = \frac{175}{1000}; \end{aligned}

$\eqalign{ & 2.5 = \frac{{25}}{{10}}; \cr & 0.5 = \frac{5}{{10}}; \cr & 0.175 = \frac{{175}}{{1000}}; \cr}$
Now,
LCM of two or more fractions is given by: