Add 49/14 and 30/32
1st number: 3 7/14, 2nd number: 30/32
49/14 + 30/32 is 71/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 32 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 14 × 16 = 224,
49/14 = 49 × 16/14 × 16 = 784/224 - Likewise, for the 2nd fraction, since 32 × 7 = 224,
30/32 = 30 × 7/32 × 7 = 210/224 - Add the two like fractions:
784/224 + 210/224 = 784 + 210/224 = 994/224 - 994/224 simplified gives 71/16
- So, 49/14 + 30/32 = 71/16
In mixed form: 47/16
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