Compare 36/56 and 49/70
36/56 is smaller than 49/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 70 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 56 × 5 = 280,
36/56 = 36 × 5/56 × 5 = 180/280 - Likewise, for the 2nd fraction, since 70 × 4 = 280,
49/70 = 49 × 4/70 × 4 = 196/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/280 < 196/280 or 36/56 < 49/70
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