Add 24/45 and 28/49
24/45 + 28/49 is 116/105.
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,
24/45 = 24 × 49/45 × 49 = 1176/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
28/49 = 28 × 45/49 × 45 = 1260/2205 - Add the two like fractions:
1176/2205 + 1260/2205 = 1176 + 1260/2205 = 2436/2205 - 2436/2205 simplified gives 116/105
- So, 24/45 + 28/49 = 116/105
In mixed form: 111/105
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