Add 40/49 and 75/81
40/49 + 75/81 is 2305/1323.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 81 is 3969
Next, find the equivalent fraction of both fractional numbers with denominator 3969 - For the 1st fraction, since 49 × 81 = 3969,
40/49 = 40 × 81/49 × 81 = 3240/3969 - Likewise, for the 2nd fraction, since 81 × 49 = 3969,
75/81 = 75 × 49/81 × 49 = 3675/3969 - Add the two like fractions:
3240/3969 + 3675/3969 = 3240 + 3675/3969 = 6915/3969 - 6915/3969 simplified gives 2305/1323
- So, 40/49 + 75/81 = 2305/1323
In mixed form: 1982/1323
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