Add 12/40 and 20/45
12/40 + 20/45 is 67/90.
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,
12/40 = 12 × 9/40 × 9 = 108/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
20/45 = 20 × 8/45 × 8 = 160/360 - Add the two like fractions:
108/360 + 160/360 = 108 + 160/360 = 268/360 - 268/360 simplified gives 67/90
- So, 12/40 + 20/45 = 67/90
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