Compare 6/8 and 40/49
6/8 is smaller than 40/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 49 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 8 × 49 = 392,
6/8 = 6 × 49/8 × 49 = 294/392 - Likewise, for the 2nd fraction, since 49 × 8 = 392,
40/49 = 40 × 8/49 × 8 = 320/392 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/392 < 320/392 or 6/8 < 40/49
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