Add 75/21 and 40/35
1st number: 3 12/21, 2nd number: 1 5/35
75/21 + 40/35 is 33/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 35 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 21 × 5 = 105,
75/21 = 75 × 5/21 × 5 = 375/105 - Likewise, for the 2nd fraction, since 35 × 3 = 105,
40/35 = 40 × 3/35 × 3 = 120/105 - Add the two like fractions:
375/105 + 120/105 = 375 + 120/105 = 495/105 - 495/105 simplified gives 33/7
- So, 75/21 + 40/35 = 33/7
In mixed form: 45/7
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