Add 10/14 and 30/32
10/14 + 30/32 is 185/112.
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,
10/14 = 10 × 16/14 × 16 = 160/224 - Likewise, for the 2nd fraction, since 32 × 7 = 224,
30/32 = 30 × 7/32 × 7 = 210/224 - Add the two like fractions:
160/224 + 210/224 = 160 + 210/224 = 370/224 - 370/224 simplified gives 185/112
- So, 10/14 + 30/32 = 185/112
In mixed form: 173/112
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