Add 49/96 and 35/45
49/96 + 35/45 is 371/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 45 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 96 × 15 = 1440,
49/96 = 49 × 15/96 × 15 = 735/1440 - Likewise, for the 2nd fraction, since 45 × 32 = 1440,
35/45 = 35 × 32/45 × 32 = 1120/1440 - Add the two like fractions:
735/1440 + 1120/1440 = 735 + 1120/1440 = 1855/1440 - 1855/1440 simplified gives 371/288
- So, 49/96 + 35/45 = 371/288
In mixed form: 183/288
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