Add 40/49 and 16/24
40/49 + 16/24 is 218/147.
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,
16/24 = 16 × 49/24 × 49 = 784/1176 - Add the two like fractions:
960/1176 + 784/1176 = 960 + 784/1176 = 1744/1176 - 1744/1176 simplified gives 218/147
- So, 40/49 + 16/24 = 218/147
In mixed form: 171/147
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