Add 28/30 and 40/84
28/30 + 40/84 is 148/105.
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,
28/30 = 28 × 14/30 × 14 = 392/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Add the two like fractions:
392/420 + 200/420 = 392 + 200/420 = 592/420 - 592/420 simplified gives 148/105
- So, 28/30 + 40/84 = 148/105
In mixed form: 143/105
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