Add 40/25 and 45/49
1st number: 1 15/25, 2nd number: 45/49
40/25 + 45/49 is 617/245.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 49 is 1225
Next, find the equivalent fraction of both fractional numbers with denominator 1225 - For the 1st fraction, since 25 × 49 = 1225,
40/25 = 40 × 49/25 × 49 = 1960/1225 - Likewise, for the 2nd fraction, since 49 × 25 = 1225,
45/49 = 45 × 25/49 × 25 = 1125/1225 - Add the two like fractions:
1960/1225 + 1125/1225 = 1960 + 1125/1225 = 3085/1225 - 3085/1225 simplified gives 617/245
- So, 40/25 + 45/49 = 617/245
In mixed form: 2127/245
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