Add 21/35 and 49/54
21/35 + 49/54 is 407/270.
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,
21/35 = 21 × 54/35 × 54 = 1134/1890 - Likewise, for the 2nd fraction, since 54 × 35 = 1890,
49/54 = 49 × 35/54 × 35 = 1715/1890 - Add the two like fractions:
1134/1890 + 1715/1890 = 1134 + 1715/1890 = 2849/1890 - 2849/1890 simplified gives 407/270
- So, 21/35 + 49/54 = 407/270
In mixed form: 1137/270
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