Add 14/45 and 42/49
14/45 + 42/49 is 368/315.
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,
14/45 = 14 × 49/45 × 49 = 686/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
42/49 = 42 × 45/49 × 45 = 1890/2205 - Add the two like fractions:
686/2205 + 1890/2205 = 686 + 1890/2205 = 2576/2205 - 2576/2205 simplified gives 368/315
- So, 14/45 + 42/49 = 368/315
In mixed form: 153/315
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