Add 42/45 and 32/36
42/45 + 32/36 is 82/45.
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,
42/45 = 42 × 4/45 × 4 = 168/180 - Likewise, for the 2nd fraction, since 36 × 5 = 180,
32/36 = 32 × 5/36 × 5 = 160/180 - Add the two like fractions:
168/180 + 160/180 = 168 + 160/180 = 328/180 - 328/180 simplified gives 82/45
- So, 42/45 + 32/36 = 82/45
In mixed form: 137/45
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