Compare 36/4 and 75/7
1st number: 9 0/4, 2nd number: 10 5/7
36/4 is smaller than 75/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 7 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 4 × 7 = 28,
36/4 = 36 × 7/4 × 7 = 252/28 - Likewise, for the 2nd fraction, since 7 × 4 = 28,
75/7 = 75 × 4/7 × 4 = 300/28 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 252/28 < 300/28 or 36/4 < 75/7
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