Add 21/10 and 45/84
1st number: 2 1/10, 2nd number: 45/84
21/10 + 45/84 is 369/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 10 × 42 = 420,
21/10 = 21 × 42/10 × 42 = 882/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
45/84 = 45 × 5/84 × 5 = 225/420 - Add the two like fractions:
882/420 + 225/420 = 882 + 225/420 = 1107/420 - 1107/420 simplified gives 369/140
- So, 21/10 + 45/84 = 369/140
In mixed form: 289/140
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