Add 4/35 and 40/42
4/35 + 40/42 is 16/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 35 × 6 = 210,
4/35 = 4 × 6/35 × 6 = 24/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Add the two like fractions:
24/210 + 200/210 = 24 + 200/210 = 224/210 - 224/210 simplified gives 16/15
- So, 4/35 + 40/42 = 16/15
In mixed form: 11/15
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