Add 45/50 and 40/49
45/50 + 40/49 is 841/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 49 is 2450
Next, find the equivalent fraction of both fractional numbers with denominator 2450 - For the 1st fraction, since 50 × 49 = 2450,
45/50 = 45 × 49/50 × 49 = 2205/2450 - Likewise, for the 2nd fraction, since 49 × 50 = 2450,
40/49 = 40 × 50/49 × 50 = 2000/2450 - Add the two like fractions:
2205/2450 + 2000/2450 = 2205 + 2000/2450 = 4205/2450 - 4205/2450 simplified gives 841/490
- So, 45/50 + 40/49 = 841/490
In mixed form: 1351/490
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