Add 3/24 and 45/49
3/24 + 45/49 is 409/392.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 49 is 1176
Next, find the equivalent fraction of both fractional numbers with denominator 1176 - For the 1st fraction, since 24 × 49 = 1176,
3/24 = 3 × 49/24 × 49 = 147/1176 - Likewise, for the 2nd fraction, since 49 × 24 = 1176,
45/49 = 45 × 24/49 × 24 = 1080/1176 - Add the two like fractions:
147/1176 + 1080/1176 = 147 + 1080/1176 = 1227/1176 - 1227/1176 simplified gives 409/392
- So, 3/24 + 45/49 = 409/392
In mixed form: 117/392
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