Add 40/45 and 21/18
1st number: 40/45, 2nd number: 1 3/18
40/45 + 21/18 is 37/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 18 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 45 × 2 = 90,
40/45 = 40 × 2/45 × 2 = 80/90 - Likewise, for the 2nd fraction, since 18 × 5 = 90,
21/18 = 21 × 5/18 × 5 = 105/90 - Add the two like fractions:
80/90 + 105/90 = 80 + 105/90 = 185/90 - 185/90 simplified gives 37/18
- So, 40/45 + 21/18 = 37/18
In mixed form: 21/18
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