Add 30/40 and 30/45
30/40 + 30/45 is 17/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 45 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 45 × 8 = 360,
30/45 = 30 × 8/45 × 8 = 240/360 - Add the two like fractions:
270/360 + 240/360 = 270 + 240/360 = 510/360 - 510/360 simplified gives 17/12
- So, 30/40 + 30/45 = 17/12
In mixed form: 15/12
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