Add 10/27 and 30/32
10/27 + 30/32 is 565/432.
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,
10/27 = 10 × 32/27 × 32 = 320/864 - Likewise, for the 2nd fraction, since 32 × 27 = 864,
30/32 = 30 × 27/32 × 27 = 810/864 - Add the two like fractions:
320/864 + 810/864 = 320 + 810/864 = 1130/864 - 1130/864 simplified gives 565/432
- So, 10/27 + 30/32 = 565/432
In mixed form: 1133/432
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