Add 21/27 and 3/45
21/27 + 3/45 is 38/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 45 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 27 × 5 = 135,
21/27 = 21 × 5/27 × 5 = 105/135 - Likewise, for the 2nd fraction, since 45 × 3 = 135,
3/45 = 3 × 3/45 × 3 = 9/135 - Add the two like fractions:
105/135 + 9/135 = 105 + 9/135 = 114/135 - 114/135 simplified gives 38/45
- So, 21/27 + 3/45 = 38/45
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