Add 42/9 and 75/35
1st number: 4 6/9, 2nd number: 2 5/35
42/9 + 75/35 is 143/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 9 × 35 = 315,
42/9 = 42 × 35/9 × 35 = 1470/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
75/35 = 75 × 9/35 × 9 = 675/315 - Add the two like fractions:
1470/315 + 675/315 = 1470 + 675/315 = 2145/315 - 2145/315 simplified gives 143/21
- So, 42/9 + 75/35 = 143/21
In mixed form: 617/21
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