Compare 42/48 and 56/84
42/48 is greater than 56/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 84 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 48 × 7 = 336,
42/48 = 42 × 7/48 × 7 = 294/336 - Likewise, for the 2nd fraction, since 84 × 4 = 336,
56/84 = 56 × 4/84 × 4 = 224/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/336 > 224/336 or 42/48 > 56/84
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