Add 49/30 and 28/32
1st number: 1 19/30, 2nd number: 28/32
49/30 + 28/32 is 301/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 32 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 30 × 16 = 480,
49/30 = 49 × 16/30 × 16 = 784/480 - Likewise, for the 2nd fraction, since 32 × 15 = 480,
28/32 = 28 × 15/32 × 15 = 420/480 - Add the two like fractions:
784/480 + 420/480 = 784 + 420/480 = 1204/480 - 1204/480 simplified gives 301/120
- So, 49/30 + 28/32 = 301/120
In mixed form: 261/120
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