Compare 45/48 and 24/42
45/48 is greater than 24/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 42 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 48 × 7 = 336,
45/48 = 45 × 7/48 × 7 = 315/336 - Likewise, for the 2nd fraction, since 42 × 8 = 336,
24/42 = 24 × 8/42 × 8 = 192/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/336 > 192/336 or 45/48 > 24/42
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