Add 40/49 and 30/45
40/49 + 30/45 is 218/147.
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,
40/49 = 40 × 45/49 × 45 = 1800/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
30/45 = 30 × 49/45 × 49 = 1470/2205 - Add the two like fractions:
1800/2205 + 1470/2205 = 1800 + 1470/2205 = 3270/2205 - 3270/2205 simplified gives 218/147
- So, 40/49 + 30/45 = 218/147
In mixed form: 171/147
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