Add 30/40 and 40/9
1st number: 30/40, 2nd number: 4 4/9
30/40 + 40/9 is 187/36.
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,
40/9 = 40 × 40/9 × 40 = 1600/360 - Add the two like fractions:
270/360 + 1600/360 = 270 + 1600/360 = 1870/360 - 1870/360 simplified gives 187/36
- So, 30/40 + 40/9 = 187/36
In mixed form: 57/36
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