Add 40/45 and 9/12
40/45 + 9/12 is 59/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 12 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 12 × 15 = 180,
9/12 = 9 × 15/12 × 15 = 135/180 - Add the two like fractions:
160/180 + 135/180 = 160 + 135/180 = 295/180 - 295/180 simplified gives 59/36
- So, 40/45 + 9/12 = 59/36
In mixed form: 123/36
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