Add 12/45 and 40/49
12/45 + 40/49 is 796/735.
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,
12/45 = 12 × 49/45 × 49 = 588/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
40/49 = 40 × 45/49 × 45 = 1800/2205 - Add the two like fractions:
588/2205 + 1800/2205 = 588 + 1800/2205 = 2388/2205 - 2388/2205 simplified gives 796/735
- So, 12/45 + 40/49 = 796/735
In mixed form: 161/735
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