Add 75/21 and 81/40
1st number: 3 12/21, 2nd number: 2 1/40
75/21 + 81/40 is 1567/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 21 × 40 = 840,
75/21 = 75 × 40/21 × 40 = 3000/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
81/40 = 81 × 21/40 × 21 = 1701/840 - Add the two like fractions:
3000/840 + 1701/840 = 3000 + 1701/840 = 4701/840 - 4701/840 simplified gives 1567/280
- So, 75/21 + 81/40 = 1567/280
In mixed form: 5167/280
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