Add 30/49 and 40/45
30/49 + 40/45 is 662/441.
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,
30/49 = 30 × 45/49 × 45 = 1350/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
40/45 = 40 × 49/45 × 49 = 1960/2205 - Add the two like fractions:
1350/2205 + 1960/2205 = 1350 + 1960/2205 = 3310/2205 - 3310/2205 simplified gives 662/441
- So, 30/49 + 40/45 = 662/441
In mixed form: 1221/441
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