Compare 9/10 and 30/40
9/10 is greater than 30/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 40 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 10 × 4 = 40,
9/10 = 9 × 4/10 × 4 = 36/40 - Likewise, for the 2nd fraction, since 40 × 1 = 40,
30/40 = 30 × 1/40 × 1 = 30/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/40 > 30/40 or 9/10 > 30/40
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