Add 40/45 and 21/84
40/45 + 21/84 is 41/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
40/45 = 40 × 28/45 × 28 = 1120/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
21/84 = 21 × 15/84 × 15 = 315/1260 - Add the two like fractions:
1120/1260 + 315/1260 = 1120 + 315/1260 = 1435/1260 - 1435/1260 simplified gives 41/36
- So, 40/45 + 21/84 = 41/36
In mixed form: 15/36
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