Add 42/27 and 30/32
1st number: 1 15/27, 2nd number: 30/32
42/27 + 30/32 is 359/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 32 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 27 × 32 = 864,
42/27 = 42 × 32/27 × 32 = 1344/864 - Likewise, for the 2nd fraction, since 32 × 27 = 864,
30/32 = 30 × 27/32 × 27 = 810/864 - Add the two like fractions:
1344/864 + 810/864 = 1344 + 810/864 = 2154/864 - 2154/864 simplified gives 359/144
- So, 42/27 + 30/32 = 359/144
In mixed form: 271/144
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