Add 30/84 and 54/75
30/84 + 54/75 is 377/350.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
30/84 = 30 × 25/84 × 25 = 750/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
54/75 = 54 × 28/75 × 28 = 1512/2100 - Add the two like fractions:
750/2100 + 1512/2100 = 750 + 1512/2100 = 2262/2100 - 2262/2100 simplified gives 377/350
- So, 30/84 + 54/75 = 377/350
In mixed form: 127/350
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