Add 21/45 and 96/49
1st number: 21/45, 2nd number: 1 47/49
21/45 + 96/49 is 1783/735.
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,
21/45 = 21 × 49/45 × 49 = 1029/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
96/49 = 96 × 45/49 × 45 = 4320/2205 - Add the two like fractions:
1029/2205 + 4320/2205 = 1029 + 4320/2205 = 5349/2205 - 5349/2205 simplified gives 1783/735
- So, 21/45 + 96/49 = 1783/735
In mixed form: 2313/735
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