Add 30/81 and 35/40
30/81 + 35/40 is 269/216.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 40 is 3240
Next, find the equivalent fraction of both fractional numbers with denominator 3240 - For the 1st fraction, since 81 × 40 = 3240,
30/81 = 30 × 40/81 × 40 = 1200/3240 - Likewise, for the 2nd fraction, since 40 × 81 = 3240,
35/40 = 35 × 81/40 × 81 = 2835/3240 - Add the two like fractions:
1200/3240 + 2835/3240 = 1200 + 2835/3240 = 4035/3240 - 4035/3240 simplified gives 269/216
- So, 30/81 + 35/40 = 269/216
In mixed form: 153/216
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