Add 4/9 and 20/32
4/9 + 20/32 is 77/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 32 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 9 × 32 = 288,
4/9 = 4 × 32/9 × 32 = 128/288 - Likewise, for the 2nd fraction, since 32 × 9 = 288,
20/32 = 20 × 9/32 × 9 = 180/288 - Add the two like fractions:
128/288 + 180/288 = 128 + 180/288 = 308/288 - 308/288 simplified gives 77/72
- So, 4/9 + 20/32 = 77/72
In mixed form: 15/72
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