Compare 7/75 and 42/63
7/75 is smaller than 42/63
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,
7/75 = 7 × 21/75 × 21 = 147/1575 - Likewise, for the 2nd fraction, since 63 × 25 = 1575,
42/63 = 42 × 25/63 × 25 = 1050/1575 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/1575 < 1050/1575 or 7/75 < 42/63
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