Add 2/49 and 20/45
2/49 + 20/45 is 214/441.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 45 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 49 × 45 = 2205,
2/49 = 2 × 45/49 × 45 = 90/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
20/45 = 20 × 49/45 × 49 = 980/2205 - Add the two like fractions:
90/2205 + 980/2205 = 90 + 980/2205 = 1070/2205 - 1070/2205 simplified gives 214/441
- So, 2/49 + 20/45 = 214/441
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