Compare 35/75 and 40/70
35/75 is smaller than 40/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 70 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
35/75 = 35 × 14/75 × 14 = 490/1050 - Likewise, for the 2nd fraction, since 70 × 15 = 1050,
40/70 = 40 × 15/70 × 15 = 600/1050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 490/1050 < 600/1050 or 35/75 < 40/70
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