Compare 10/28 and 30/50
10/28 is smaller than 30/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 50 is 700
Next, find the equivalent fraction of both fractional numbers with denominator 700 - For the 1st fraction, since 28 × 25 = 700,
10/28 = 10 × 25/28 × 25 = 250/700 - Likewise, for the 2nd fraction, since 50 × 14 = 700,
30/50 = 30 × 14/50 × 14 = 420/700 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 250/700 < 420/700 or 10/28 < 30/50
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