Add 42/48 and 20/27
42/48 + 20/27 is 349/216.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 27 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 48 × 9 = 432,
42/48 = 42 × 9/48 × 9 = 378/432 - Likewise, for the 2nd fraction, since 27 × 16 = 432,
20/27 = 20 × 16/27 × 16 = 320/432 - Add the two like fractions:
378/432 + 320/432 = 378 + 320/432 = 698/432 - 698/432 simplified gives 349/216
- So, 42/48 + 20/27 = 349/216
In mixed form: 1133/216
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