Add 20/49 and 40/45
20/49 + 40/45 is 572/441.
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,
20/49 = 20 × 45/49 × 45 = 900/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
40/45 = 40 × 49/45 × 49 = 1960/2205 - Add the two like fractions:
900/2205 + 1960/2205 = 900 + 1960/2205 = 2860/2205 - 2860/2205 simplified gives 572/441
- So, 20/49 + 40/45 = 572/441
In mixed form: 1131/441
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