Add 75/40 and 7/81
1st number: 1 35/40, 2nd number: 7/81
75/40 + 7/81 is 1271/648.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 81 is 3240
Next, find the equivalent fraction of both fractional numbers with denominator 3240 - For the 1st fraction, since 40 × 81 = 3240,
75/40 = 75 × 81/40 × 81 = 6075/3240 - Likewise, for the 2nd fraction, since 81 × 40 = 3240,
7/81 = 7 × 40/81 × 40 = 280/3240 - Add the two like fractions:
6075/3240 + 280/3240 = 6075 + 280/3240 = 6355/3240 - 6355/3240 simplified gives 1271/648
- So, 75/40 + 7/81 = 1271/648
In mixed form: 1623/648
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