Question

Express the given groups of unlike fractions into that of like fractions:

$\frac{11}{18},\frac{7}{9},\frac{1}{6},\frac{1}{3},\frac{5}{12}$

Answer 1

Conversion from unlike fraction to like fraction :

The given unlike fractions are $\frac{11}{18},\frac{7}{9},\frac{1}{6},\frac{1}{3}$ and $\frac{5}{12}$ having denominators $18,9,6,3$ and $12$.

LCM of $18,9,6,3$ and $12$$=3\times 3\times 2\times 2=36$.

Now, the required like fractions are given by making the denominator equal to LCM of each unlike fraction.

Therefore, $\frac{11}{18}=\frac{11\times 2}{18\times 2}=\frac{\mathbf{22}}{\mathbf{36}}$

$\frac{7}{9}=\frac{7\times 4}{9\times 4}=\frac{\mathbf{\text{28}}}{\mathbf{36}}$

$\frac{1}{6}=\frac{1\times 6}{6\times 6}=\frac{\mathbf{6}}{\mathbf{36}}$

$\frac{1}{3}=\frac{1\times 12}{3\times 12}=\frac{\mathbf{12}}{\mathbf{36}}$

$\frac{5}{12}=\frac{5\times 3}{12\times 3}=\frac{\mathbf{15}}{\mathbf{36}}$

Hence, the given group of unlike fractions $\frac{11}{18},\frac{7}{9},\frac{1}{6},\frac{1}{3},\frac{5}{12}$can be expressed in like fractions as $\frac{\mathbf{22}}{\mathbf{36}}\mathbf{,}\frac{\mathbf{28}}{\mathbf{36}}\mathbf{,}\frac{\mathbf{6}}{\mathbf{36}}\mathbf{,}\frac{\mathbf{12}}{\mathbf{36}}\mathbf{,}\frac{\mathbf{15}}{\mathbf{36}}$