Compare 5/30 and 40/35
1st number: 5/30, 2nd number: 1 5/35
5/30 is smaller than 40/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 35 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
5/30 = 5 × 7/30 × 7 = 35/210 - Likewise, for the 2nd fraction, since 35 × 6 = 210,
40/35 = 40 × 6/35 × 6 = 240/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 35/210 < 240/210 or 5/30 < 40/35
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