Add 7/14 and 30/32
7/14 + 30/32 is 23/16.
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,
7/14 = 7 × 16/14 × 16 = 112/224 - Likewise, for the 2nd fraction, since 32 × 7 = 224,
30/32 = 30 × 7/32 × 7 = 210/224 - Add the two like fractions:
112/224 + 210/224 = 112 + 210/224 = 322/224 - 322/224 simplified gives 23/16
- So, 7/14 + 30/32 = 23/16
In mixed form: 17/16
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