Compare 7/10 and 32/35
7/10 is smaller than 32/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 35 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 10 × 7 = 70,
7/10 = 7 × 7/10 × 7 = 49/70 - Likewise, for the 2nd fraction, since 35 × 2 = 70,
32/35 = 32 × 2/35 × 2 = 64/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 49/70 < 64/70 or 7/10 < 32/35
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