Add 45/54 and 21/35
45/54 + 21/35 is 43/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 35 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 54 × 35 = 1890,
45/54 = 45 × 35/54 × 35 = 1575/1890 - Likewise, for the 2nd fraction, since 35 × 54 = 1890,
21/35 = 21 × 54/35 × 54 = 1134/1890 - Add the two like fractions:
1575/1890 + 1134/1890 = 1575 + 1134/1890 = 2709/1890 - 2709/1890 simplified gives 43/30
- So, 45/54 + 21/35 = 43/30
In mixed form: 113/30
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