Add 30/45 and 20/40
30/45 + 20/40 is 7/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
30/45 = 30 × 8/45 × 8 = 240/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
20/40 = 20 × 9/40 × 9 = 180/360 - Add the two like fractions:
240/360 + 180/360 = 240 + 180/360 = 420/360 - 420/360 simplified gives 7/6
- So, 30/45 + 20/40 = 7/6
In mixed form: 11/6
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