Question

Find the difference between 4/9 and 5/12 ​

Answer 1

$\large\tt\green {Solution:-}$

$Given \: fractions \: are \: \dfrac{4}{9} \: and \: \dfrac{5}{12} .$

$LCM \: of \: 9 \: and \: 12 = 3 \times 3 \times 4 = 36.$

$Now, \: \dfrac{4}{9} = \dfrac{4 \times 4}{9 \times 4} = \dfrac{16}{36} \\ and , \: \dfrac{5}{12} = \dfrac{5 \times 3}{12 \times 3} = \dfrac{15}{36.}$

$Clearly, \: \dfrac{16}{36} > \dfrac{15}{36}$

$∴ \dfrac{4}{9} > \dfrac{5}{12} .$

$Now, \: \dfrac{4}{9} - \dfrac{5}{12} = \dfrac{16}{36} - \dfrac{15}{36} = \dfrac{16 - 15}{36} = \dfrac{1}{36.}$

$\large\tt\green {Additional\: information:-}$

• $Sum \: of \: like \: fractions = \dfrac{sum \: of \: numerators}{common \: denominator}$

• $Difference \: of \: like \: fractions = \dfrac{difference \: of \: numerators}{common \: denominator}$

• $When \: we \: find \: the \: difference \: of \\ two \: unlike \: fractions, \: we \: convert \\ them \: into \: equivalent \: fractions \\ with \: a \: denominator \: equal \: to \: the \: LCM \\ of \: the \: denominators \: of \: the \: given \: fractions. \\ Now, \: these \: like \: fractions \: can \: be \: subtracted \\ as \: given \: above.$