Add 8/30 and 30/32
8/30 + 30/32 is 289/240.
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,
8/30 = 8 × 16/30 × 16 = 128/480 - Likewise, for the 2nd fraction, since 32 × 15 = 480,
30/32 = 30 × 15/32 × 15 = 450/480 - Add the two like fractions:
128/480 + 450/480 = 128 + 450/480 = 578/480 - 578/480 simplified gives 289/240
- So, 8/30 + 30/32 = 289/240
In mixed form: 149/240
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