Question
Write fractions ascending order.
$\frac{7}{10}, \frac{11}{15}, \frac{2}{5}$
$\frac{7}{10}, \frac{11}{15}, \frac{2}{5}$
✓
Answer
The given fractions are $\frac{7}{10}, \frac{11}{15}, \frac{2}{5}$
Let us find LCM of denominator 10, 15, 5
∴ LCM of 10, 15 and 5 = 2 × 3 × 5 = 30
Now let us make denominator of each fractions as LCM
$\frac{7 \times 3}{10 \times 3}, \frac{11 \times 2}{15 \times 2}, \frac{2 \times 6}{5 \times 6}$
$\frac{21}{30}, \frac{22}{30}, \frac{12}{30}$
Clearly $\frac{12}{30}<\frac{21}{30}<\frac{22}{30}$
$\Rightarrow \frac{2}{5}<\frac{7}{10}<\frac{11}{5}$
Hence given fractions in ascending order are: $\frac{2}{5}, \frac{7}{10} \frac{11}{5}$
Let us find LCM of denominator 10, 15, 5
∴ LCM of 10, 15 and 5 = 2 × 3 × 5 = 30
Now let us make denominator of each fractions as LCM
$\frac{7 \times 3}{10 \times 3}, \frac{11 \times 2}{15 \times 2}, \frac{2 \times 6}{5 \times 6}$
$\frac{21}{30}, \frac{22}{30}, \frac{12}{30}$
Clearly $\frac{12}{30}<\frac{21}{30}<\frac{22}{30}$
$\Rightarrow \frac{2}{5}<\frac{7}{10}<\frac{11}{5}$
Hence given fractions in ascending order are: $\frac{2}{5}, \frac{7}{10} \frac{11}{5}$
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