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    Subject

    Quantitative Aptitude

    Topic

    Number

    What is the L.C.M and H.C.F of the fractions 65,35and1511?\frac{6}{5},\frac{3}{5}{\text{and}}\frac{{15}}{{11}}?

    ক)
    \(30,\frac{3}{{55}}\)
    খ)
    \(30,\frac{7}{{55}}\)
    গ)
    \(\frac{1}{{30}},\frac{3}{{55}}\)
    ঘ)
    \(30,\frac{{55}}{3}\)

    Explanation

    As we know that, L.C.M of fractions=LCM of numeratorsHCF of denominators{\text{L}}.{\text{C}}.{\text{M of fractions}} = \frac{{{\text{LCM of numerators}}}}{{{\text{HCF of denominators}}}} H.C.F of fractions=HCF of numeratorsLCM of denominators{\text{H}}.{\text{C}}.{\text{F of fractions}} = \frac{{{\text{HCF of numerators}}}}{{{\text{LCM of denominators}}}} Since,  6 = 2 × 3      3 = 1 × 3     15= 3 × 5      5 = 1 × 5    and  11 = 1 × 11 So L.C.M of 6, 3 and 15 = 2 × 3 × 5 = 30 And H.C.F of 5, 5 and 11 = 1 Hence L.C.M of 65,35and1511=301=30\frac{6}{5},\frac{3}{5}{\text{and}}\frac{{15}}{{11}} = \frac{{30}}{1} = 30 Similarly H.C.F of 6, 3 and 15 = 3 And L.C.M of 5, 5 and 11 = 55 Hence H.C.F of 65,35and1511=355\frac{6}{5},\frac{3}{5}{\text{and}}\frac{{15}}{{11}} = \frac{3}{{55}}

    Related questions

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