Add 14/10 and 40/84
1st number: 1 4/10, 2nd number: 40/84
14/10 + 40/84 is 197/105.
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,
14/10 = 14 × 42/10 × 42 = 588/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Add the two like fractions:
588/420 + 200/420 = 588 + 200/420 = 788/420 - 788/420 simplified gives 197/105
- So, 14/10 + 40/84 = 197/105
In mixed form: 192/105
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