Compare 4/7 and 25/40
4/7 is smaller than 25/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 7 × 40 = 280,
4/7 = 4 × 40/7 × 40 = 160/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
25/40 = 25 × 7/40 × 7 = 175/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/280 < 175/280 or 4/7 < 25/40
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