Compare 1/30 and 45/56
1/30 is smaller than 45/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 56 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 30 × 28 = 840,
1/30 = 1 × 28/30 × 28 = 28/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
45/56 = 45 × 15/56 × 15 = 675/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/840 < 675/840 or 1/30 < 45/56
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