Add 40/45 and 21/36
40/45 + 21/36 is 53/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 36 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
40/45 = 40 × 4/45 × 4 = 160/180 - Likewise, for the 2nd fraction, since 36 × 5 = 180,
21/36 = 21 × 5/36 × 5 = 105/180 - Add the two like fractions:
160/180 + 105/180 = 160 + 105/180 = 265/180 - 265/180 simplified gives 53/36
- So, 40/45 + 21/36 = 53/36
In mixed form: 117/36
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