Add 30/14 and 84/40
1st number: 2 2/14, 2nd number: 2 4/40
30/14 + 84/40 is 297/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 14 × 20 = 280,
30/14 = 30 × 20/14 × 20 = 600/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
84/40 = 84 × 7/40 × 7 = 588/280 - Add the two like fractions:
600/280 + 588/280 = 600 + 588/280 = 1188/280 - 1188/280 simplified gives 297/70
- So, 30/14 + 84/40 = 297/70
In mixed form: 417/70
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