Add 30/40 and 18/45
30/40 + 18/45 is 23/20.
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,
18/45 = 18 × 8/45 × 8 = 144/360 - Add the two like fractions:
270/360 + 144/360 = 270 + 144/360 = 414/360 - 414/360 simplified gives 23/20
- So, 30/40 + 18/45 = 23/20
In mixed form: 13/20
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