Compare 40/70 and 18/24
40/70 is smaller than 18/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 24 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 70 × 12 = 840,
40/70 = 40 × 12/70 × 12 = 480/840 - Likewise, for the 2nd fraction, since 24 × 35 = 840,
18/24 = 18 × 35/24 × 35 = 630/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 480/840 < 630/840 or 40/70 < 18/24
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