Compare 3/10 and 36/72
3/10 is smaller than 36/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 72 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 10 × 36 = 360,
3/10 = 3 × 36/10 × 36 = 108/360 - Likewise, for the 2nd fraction, since 72 × 5 = 360,
36/72 = 36 × 5/72 × 5 = 180/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/360 < 180/360 or 3/10 < 36/72
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