Add 75/20 and 45/84
1st number: 3 15/20, 2nd number: 45/84
75/20 + 45/84 is 30/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
75/20 = 75 × 21/20 × 21 = 1575/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
45/84 = 45 × 5/84 × 5 = 225/420 - Add the two like fractions:
1575/420 + 225/420 = 1575 + 225/420 = 1800/420 - 1800/420 simplified gives 30/7
- So, 75/20 + 45/84 = 30/7
In mixed form: 42/7
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