Add 42/10 and 45/84
1st number: 4 2/10, 2nd number: 45/84
42/10 + 45/84 is 663/140.
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,
42/10 = 42 × 42/10 × 42 = 1764/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
45/84 = 45 × 5/84 × 5 = 225/420 - Add the two like fractions:
1764/420 + 225/420 = 1764 + 225/420 = 1989/420 - 1989/420 simplified gives 663/140
- So, 42/10 + 45/84 = 663/140
In mixed form: 4103/140
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