Add 16/45 and 7/49
16/45 + 7/49 is 157/315.
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,
16/45 = 16 × 49/45 × 49 = 784/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
7/49 = 7 × 45/49 × 45 = 315/2205 - Add the two like fractions:
784/2205 + 315/2205 = 784 + 315/2205 = 1099/2205 - 1099/2205 simplified gives 157/315
- So, 16/45 + 7/49 = 157/315
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