Add 45/49 and 10/45
45/49 + 10/45 is 503/441.
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,
10/45 = 10 × 49/45 × 49 = 490/2205 - Add the two like fractions:
2025/2205 + 490/2205 = 2025 + 490/2205 = 2515/2205 - 2515/2205 simplified gives 503/441
- So, 45/49 + 10/45 = 503/441
In mixed form: 162/441
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