Add 30/35 and 27/32
30/35 + 27/32 is 381/224.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 32 is 1120
Next, find the equivalent fraction of both fractional numbers with denominator 1120 - For the 1st fraction, since 35 × 32 = 1120,
30/35 = 30 × 32/35 × 32 = 960/1120 - Likewise, for the 2nd fraction, since 32 × 35 = 1120,
27/32 = 27 × 35/32 × 35 = 945/1120 - Add the two like fractions:
960/1120 + 945/1120 = 960 + 945/1120 = 1905/1120 - 1905/1120 simplified gives 381/224
- So, 30/35 + 27/32 = 381/224
In mixed form: 1157/224
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