Add 30/45 and 14/49
30/45 + 14/49 is 20/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 49 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 45 × 49 = 2205,
30/45 = 30 × 49/45 × 49 = 1470/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
14/49 = 14 × 45/49 × 45 = 630/2205 - Add the two like fractions:
1470/2205 + 630/2205 = 1470 + 630/2205 = 2100/2205 - 2100/2205 simplified gives 20/21
- So, 30/45 + 14/49 = 20/21
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