Add 30/35 and 49/54
30/35 + 49/54 is 667/378.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 54 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 35 × 54 = 1890,
30/35 = 30 × 54/35 × 54 = 1620/1890 - Likewise, for the 2nd fraction, since 54 × 35 = 1890,
49/54 = 49 × 35/54 × 35 = 1715/1890 - Add the two like fractions:
1620/1890 + 1715/1890 = 1620 + 1715/1890 = 3335/1890 - 3335/1890 simplified gives 667/378
- So, 30/35 + 49/54 = 667/378
In mixed form: 1289/378
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