Compare 4/7 and 75/72
1st number: 4/7, 2nd number: 1 3/72
4/7 is smaller than 75/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 72 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 7 × 72 = 504,
4/7 = 4 × 72/7 × 72 = 288/504 - Likewise, for the 2nd fraction, since 72 × 7 = 504,
75/72 = 75 × 7/72 × 7 = 525/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 288/504 < 525/504 or 4/7 < 75/72
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