Compare 28/48 and 42/70
28/48 is smaller than 42/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 70 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 48 × 35 = 1680,
28/48 = 28 × 35/48 × 35 = 980/1680 - Likewise, for the 2nd fraction, since 70 × 24 = 1680,
42/70 = 42 × 24/70 × 24 = 1008/1680 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 980/1680 < 1008/1680 or 28/48 < 42/70
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