Add 35/27 and 30/32
1st number: 1 8/27, 2nd number: 30/32
35/27 + 30/32 is 965/432.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 32 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 27 × 32 = 864,
35/27 = 35 × 32/27 × 32 = 1120/864 - Likewise, for the 2nd fraction, since 32 × 27 = 864,
30/32 = 30 × 27/32 × 27 = 810/864 - Add the two like fractions:
1120/864 + 810/864 = 1120 + 810/864 = 1930/864 - 1930/864 simplified gives 965/432
- So, 35/27 + 30/32 = 965/432
In mixed form: 2101/432
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