Compare 40/49 and 10/45
40/49 is greater than 10/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 45 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 49 × 45 = 2205,
40/49 = 40 × 45/49 × 45 = 1800/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
10/45 = 10 × 49/45 × 49 = 490/2205 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1800/2205 > 490/2205 or 40/49 > 10/45
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