Add 2/3 and 30/32
2/3 + 30/32 is 77/48.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 32 is 96
Next, find the equivalent fraction of both fractional numbers with denominator 96 - For the 1st fraction, since 3 × 32 = 96,
2/3 = 2 × 32/3 × 32 = 64/96 - Likewise, for the 2nd fraction, since 32 × 3 = 96,
30/32 = 30 × 3/32 × 3 = 90/96 - Add the two like fractions:
64/96 + 90/96 = 64 + 90/96 = 154/96 - 154/96 simplified gives 77/48
- So, 2/3 + 30/32 = 77/48
In mixed form: 129/48
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