# Consider the following fractions: -\frac{1}{6},-\frac{5}{8},-\frac{7}{48}

Consider the following fractions: $$\displaystyle-{\frac{{{1}}}{{{6}}}},-{\frac{{{5}}}{{{8}}}},-{\frac{{{7}}}{{{48}}}}$$

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Given fractions
$$\displaystyle-{\frac{{{1}}}{{{6}}}},-{\frac{{{5}}}{{{8}}}},-{\frac{{{7}}}{{{48}}}}$$
Consider
$$\displaystyle-{\frac{{{1}}}{{{6}}}}$$
Multiply and divide with 8 we get
$$\displaystyle{\frac{{-{1}}}{{{6}}}}\times{\frac{{{8}}}{{{8}}}}$$
$$\displaystyle={\frac{{-{8}}}{{{48}}}}$$
Consider
$$\displaystyle{\frac{{-{5}}}{{{8}}}}$$
Multiply and divide with 6 we get
$$\displaystyle{\frac{{-{5}}}{{{8}}}}\times{\frac{{{6}}}{{{6}}}}$$
$$\displaystyle={\frac{{-{30}}}{{{48}}}}$$
similary we have $$\displaystyle{\frac{{-{7}}}{{{48}}}}$$
Hence,
All 3 fractions with the lowest common denominator are
$$\displaystyle{\frac{{-{8}}}{{{48}}}},{\frac{{-{30}}}{{{48}}}},{\frac{{-{7}}}{{{48}}}}$$