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Find the LCM and HCF of 2.5, 0.5 and 0.175.
Answer & Solution
Correct Answer:
Option
D
$$\eqalign{
& 2.5 = \frac{{25}}{{10}}, \cr
& 0.5 = \frac{5}{{10}}, \cr
& 0.175 = \frac{{175}}{{1000}}, \cr} $$
Now,
LCM of two or more fractions is given by:
$$\eqalign{ & \frac{{{\text{LCM}}\,{\text{of}}\,{\text{Numerators}}}}{{{\text{HCF}}\,{\text{of}}\,{\text{Denominators}}}} \cr & {\text{Thus,}} \cr & \frac{{{\text{LCM}}\,{\text{of}}\,25,\,5,\,175}}{{{\text{HCF}}\,{\text{of}}\,10,\,10,\,1000}} \cr & = \frac{{175}}{{10}} \cr & = 17.5 \cr} $$
Now,
LCM of two or more fractions is given by:
$$\eqalign{ & \frac{{{\text{LCM}}\,{\text{of}}\,{\text{Numerators}}}}{{{\text{HCF}}\,{\text{of}}\,{\text{Denominators}}}} \cr & {\text{Thus,}} \cr & \frac{{{\text{LCM}}\,{\text{of}}\,25,\,5,\,175}}{{{\text{HCF}}\,{\text{of}}\,10,\,10,\,1000}} \cr & = \frac{{175}}{{10}} \cr & = 17.5 \cr} $$
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