Add 42/30 and 75/84
1st number: 1 12/30, 2nd number: 75/84
42/30 + 75/84 is 321/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
42/30 = 42 × 14/30 × 14 = 588/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
75/84 = 75 × 5/84 × 5 = 375/420 - Add the two like fractions:
588/420 + 375/420 = 588 + 375/420 = 963/420 - 963/420 simplified gives 321/140
- So, 42/30 + 75/84 = 321/140
In mixed form: 241/140
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