Add 42/45 and 45/49
42/45 + 45/49 is 1361/735.
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,
42/45 = 42 × 49/45 × 49 = 2058/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
45/49 = 45 × 45/49 × 45 = 2025/2205 - Add the two like fractions:
2058/2205 + 2025/2205 = 2058 + 2025/2205 = 4083/2205 - 4083/2205 simplified gives 1361/735
- So, 42/45 + 45/49 = 1361/735
In mixed form: 1626/735
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