Add 18/27 and 36/49
18/27 + 36/49 is 206/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 27 × 49 = 1323,
18/27 = 18 × 49/27 × 49 = 882/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
36/49 = 36 × 27/49 × 27 = 972/1323 - Add the two like fractions:
882/1323 + 972/1323 = 882 + 972/1323 = 1854/1323 - 1854/1323 simplified gives 206/147
- So, 18/27 + 36/49 = 206/147
In mixed form: 159/147
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