Compare 10/15 and 36/56
10/15 is greater than 36/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 56 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 15 × 56 = 840,
10/15 = 10 × 56/15 × 56 = 560/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
36/56 = 36 × 15/56 × 15 = 540/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 560/840 > 540/840 or 10/15 > 36/56
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