Add 35/40 and 4/9
35/40 + 4/9 is 95/72.
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,
35/40 = 35 × 9/40 × 9 = 315/360 - Likewise, for the 2nd fraction, since 9 × 40 = 360,
4/9 = 4 × 40/9 × 40 = 160/360 - Add the two like fractions:
315/360 + 160/360 = 315 + 160/360 = 475/360 - 475/360 simplified gives 95/72
- So, 35/40 + 4/9 = 95/72
In mixed form: 123/72
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