Add 18/21 and 30/49
18/21 + 30/49 is 72/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 49 is 147
Next, find the equivalent fraction of both fractional numbers with denominator 147 - For the 1st fraction, since 21 × 7 = 147,
18/21 = 18 × 7/21 × 7 = 126/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
30/49 = 30 × 3/49 × 3 = 90/147 - Add the two like fractions:
126/147 + 90/147 = 126 + 90/147 = 216/147 - 216/147 simplified gives 72/49
- So, 18/21 + 30/49 = 72/49
In mixed form: 123/49
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