Compare 30/40 and 45/63
30/40 is greater than 45/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 63 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 40 × 63 = 2520,
30/40 = 30 × 63/40 × 63 = 1890/2520 - Likewise, for the 2nd fraction, since 63 × 40 = 2520,
45/63 = 45 × 40/63 × 40 = 1800/2520 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1890/2520 > 1800/2520 or 30/40 > 45/63
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