Add 45/49 and 36/40
45/49 + 36/40 is 891/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
45/49 = 45 × 40/49 × 40 = 1800/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
36/40 = 36 × 49/40 × 49 = 1764/1960 - Add the two like fractions:
1800/1960 + 1764/1960 = 1800 + 1764/1960 = 3564/1960 - 3564/1960 simplified gives 891/490
- So, 45/49 + 36/40 = 891/490
In mixed form: 1401/490
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