Compare 6/10 and 40/48
6/10 is smaller than 40/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 48 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 10 × 24 = 240,
6/10 = 6 × 24/10 × 24 = 144/240 - Likewise, for the 2nd fraction, since 48 × 5 = 240,
40/48 = 40 × 5/48 × 5 = 200/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/240 < 200/240 or 6/10 < 40/48
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