Compare 36/45 and 21/35
36/45 is greater than 21/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
36/45 = 36 × 7/45 × 7 = 252/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
21/35 = 21 × 9/35 × 9 = 189/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 252/315 > 189/315 or 36/45 > 21/35
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