Add 75/84 and 49/20
1st number: 75/84, 2nd number: 2 9/20
75/84 + 49/20 is 117/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 20 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
75/84 = 75 × 5/84 × 5 = 375/420 - Likewise, for the 2nd fraction, since 20 × 21 = 420,
49/20 = 49 × 21/20 × 21 = 1029/420 - Add the two like fractions:
375/420 + 1029/420 = 375 + 1029/420 = 1404/420 - 1404/420 simplified gives 117/35
- So, 75/84 + 49/20 = 117/35
In mixed form: 312/35
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