Add 45/49 and 21/45
45/49 + 21/45 is 1018/735.
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,
45/49 = 45 × 45/49 × 45 = 2025/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
21/45 = 21 × 49/45 × 49 = 1029/2205 - Add the two like fractions:
2025/2205 + 1029/2205 = 2025 + 1029/2205 = 3054/2205 - 3054/2205 simplified gives 1018/735
- So, 45/49 + 21/45 = 1018/735
In mixed form: 1283/735
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