Add 40/45 and 45/49
40/45 + 45/49 is 797/441.
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,
40/45 = 40 × 49/45 × 49 = 1960/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
45/49 = 45 × 45/49 × 45 = 2025/2205 - Add the two like fractions:
1960/2205 + 2025/2205 = 1960 + 2025/2205 = 3985/2205 - 3985/2205 simplified gives 797/441
- So, 40/45 + 45/49 = 797/441
In mixed form: 1356/441
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