Add 49/84 and 40/45
49/84 + 40/45 is 53/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
49/84 = 49 × 15/84 × 15 = 735/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
40/45 = 40 × 28/45 × 28 = 1120/1260 - Add the two like fractions:
735/1260 + 1120/1260 = 735 + 1120/1260 = 1855/1260 - 1855/1260 simplified gives 53/36
- So, 49/84 + 40/45 = 53/36
In mixed form: 117/36
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