Add 54/45 and 40/49
1st number: 1 9/45, 2nd number: 40/49
54/45 + 40/49 is 494/245.
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,
54/45 = 54 × 49/45 × 49 = 2646/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
40/49 = 40 × 45/49 × 45 = 1800/2205 - Add the two like fractions:
2646/2205 + 1800/2205 = 2646 + 1800/2205 = 4446/2205 - 4446/2205 simplified gives 494/245
- So, 54/45 + 40/49 = 494/245
In mixed form: 24/245
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