Compare 40/75 and 24/63
40/75 is greater than 24/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 63 is 1575
Next, find the equivalent fraction of both fractional numbers with denominator 1575 - For the 1st fraction, since 75 × 21 = 1575,
40/75 = 40 × 21/75 × 21 = 840/1575 - Likewise, for the 2nd fraction, since 63 × 25 = 1575,
24/63 = 24 × 25/63 × 25 = 600/1575 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 840/1575 > 600/1575 or 40/75 > 24/63
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