Re-arrange the given fractions in ascending order -715-1112-1335

LCM of 15,12 and 35=2×2×3×5×7=420 715=7×2815×28=196420(420÷15=28) 1112=11×3512×35=385420(420÷12=35) 1335=13×1235×12=156420(420÷35=12) Since 156 lt;196 ...

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Standard VI

Mathematics

Comparison of Fractions

Re-arrange th...

Question

Re-arrange the given fractions in ascending order :

$\frac{7}{15}, \frac{11}{12}, \frac{13}{35}$

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Solution

$LCM of 15, 12 and 35 = 2 \times 2 \times 3 \times 5 \times 7 = 420$

$\frac{7}{15} = \frac{7 \times 28}{15 \times 28} = \frac{196}{420} (420 \div 15 = 28)$

$\frac{11}{12} = \frac{11 \times 35}{12 \times 35} = \frac{385}{420} (420 \div 12 = 35)$

$\frac{13}{35} = \frac{13 \times 12}{35 \times 12} = \frac{156}{420} (420 \div 35 = 12)$

$Since 156 < 196 < 385$

$\frac{156}{420} < \frac{196}{420} < \frac{385}{420}$

$\frac{13}{35} < \frac{7}{15} < \frac{11}{12}$

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Re-arrange the given fractions in ascending order : 715,1112,1335

LCM of 15,12 and 35=2×2×3×5×7=420 715=7×2815×28=196420(420÷15=28) 1112=11×3512×35=385420(420÷12=35) 1335=13×1235×12=156420(420÷35=12) Since 156<196<385 156420<196420<385420 1335<715<1112

Re-arrange the given fractions in ascending order :

$\frac{7}{15}, \frac{11}{12}, \frac{13}{35}$