Add 42/45 and 21/27
42/45 + 21/27 is 77/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 27 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 45 × 3 = 135,
42/45 = 42 × 3/45 × 3 = 126/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
21/27 = 21 × 5/27 × 5 = 105/135 - Add the two like fractions:
126/135 + 105/135 = 126 + 105/135 = 231/135 - 231/135 simplified gives 77/45
- So, 42/45 + 21/27 = 77/45
In mixed form: 132/45
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