Add 36/42 and 45/81
36/42 + 45/81 is 89/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 81 is 1134
Next, find the equivalent fraction of both fractional numbers with denominator 1134 - For the 1st fraction, since 42 × 27 = 1134,
36/42 = 36 × 27/42 × 27 = 972/1134 - Likewise, for the 2nd fraction, since 81 × 14 = 1134,
45/81 = 45 × 14/81 × 14 = 630/1134 - Add the two like fractions:
972/1134 + 630/1134 = 972 + 630/1134 = 1602/1134 - 1602/1134 simplified gives 89/63
- So, 36/42 + 45/81 = 89/63
In mixed form: 126/63
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