Add 30/45 and 30/49
30/45 + 30/49 is 188/147.
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,
30/49 = 30 × 45/49 × 45 = 1350/2205 - Add the two like fractions:
1470/2205 + 1350/2205 = 1470 + 1350/2205 = 2820/2205 - 2820/2205 simplified gives 188/147
- So, 30/45 + 30/49 = 188/147
In mixed form: 141/147
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