Add 36/42 and 75/80
36/42 + 75/80 is 201/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 80 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 42 × 40 = 1680,
36/42 = 36 × 40/42 × 40 = 1440/1680 - Likewise, for the 2nd fraction, since 80 × 21 = 1680,
75/80 = 75 × 21/80 × 21 = 1575/1680 - Add the two like fractions:
1440/1680 + 1575/1680 = 1440 + 1575/1680 = 3015/1680 - 3015/1680 simplified gives 201/112
- So, 36/42 + 75/80 = 201/112
In mixed form: 189/112
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