Add 40/49 and 30/24
1st number: 40/49, 2nd number: 1 6/24
40/49 + 30/24 is 405/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 24 is 1176
Next, find the equivalent fraction of both fractional numbers with denominator 1176 - For the 1st fraction, since 49 × 24 = 1176,
40/49 = 40 × 24/49 × 24 = 960/1176 - Likewise, for the 2nd fraction, since 24 × 49 = 1176,
30/24 = 30 × 49/24 × 49 = 1470/1176 - Add the two like fractions:
960/1176 + 1470/1176 = 960 + 1470/1176 = 2430/1176 - 2430/1176 simplified gives 405/196
- So, 40/49 + 30/24 = 405/196
In mixed form: 213/196
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