Add 30/45 and 24/32
30/45 + 24/32 is 17/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 32 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 45 × 32 = 1440,
30/45 = 30 × 32/45 × 32 = 960/1440 - Likewise, for the 2nd fraction, since 32 × 45 = 1440,
24/32 = 24 × 45/32 × 45 = 1080/1440 - Add the two like fractions:
960/1440 + 1080/1440 = 960 + 1080/1440 = 2040/1440 - 2040/1440 simplified gives 17/12
- So, 30/45 + 24/32 = 17/12
In mixed form: 15/12
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