Add 30/40 and 4/9
30/40 + 4/9 is 43/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 9 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
30/40 = 30 × 9/40 × 9 = 270/360 - Likewise, for the 2nd fraction, since 9 × 40 = 360,
4/9 = 4 × 40/9 × 40 = 160/360 - Add the two like fractions:
270/360 + 160/360 = 270 + 160/360 = 430/360 - 430/360 simplified gives 43/36
- So, 30/40 + 4/9 = 43/36
In mixed form: 17/36
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