Add 35/54 and 5/42
35/54 + 5/42 is 145/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 54 × 7 = 378,
35/54 = 35 × 7/54 × 7 = 245/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
5/42 = 5 × 9/42 × 9 = 45/378 - Add the two like fractions:
245/378 + 45/378 = 245 + 45/378 = 290/378 - 290/378 simplified gives 145/189
- So, 35/54 + 5/42 = 145/189
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