Compare 10/7 and 40/48
1st number: 1 3/7, 2nd number: 40/48
10/7 is greater than 40/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 48 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 7 × 48 = 336,
10/7 = 10 × 48/7 × 48 = 480/336 - Likewise, for the 2nd fraction, since 48 × 7 = 336,
40/48 = 40 × 7/48 × 7 = 280/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 480/336 > 280/336 or 10/7 > 40/48
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