Add 2/27 and 42/48
2/27 + 42/48 is 205/216.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 48 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 27 × 16 = 432,
2/27 = 2 × 16/27 × 16 = 32/432 - Likewise, for the 2nd fraction, since 48 × 9 = 432,
42/48 = 42 × 9/48 × 9 = 378/432 - Add the two like fractions:
32/432 + 378/432 = 32 + 378/432 = 410/432 - 410/432 simplified gives 205/216
- So, 2/27 + 42/48 = 205/216
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