Add 10/40 and 40/54
10/40 + 40/54 is 107/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 54 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
10/40 = 10 × 27/40 × 27 = 270/1080 - Likewise, for the 2nd fraction, since 54 × 20 = 1080,
40/54 = 40 × 20/54 × 20 = 800/1080 - Add the two like fractions:
270/1080 + 800/1080 = 270 + 800/1080 = 1070/1080 - 1070/1080 simplified gives 107/108
- So, 10/40 + 40/54 = 107/108
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