Add 40/42 and 16/35
40/42 + 16/35 is 148/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 35 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Likewise, for the 2nd fraction, since 35 × 6 = 210,
16/35 = 16 × 6/35 × 6 = 96/210 - Add the two like fractions:
200/210 + 96/210 = 200 + 96/210 = 296/210 - 296/210 simplified gives 148/105
- So, 40/42 + 16/35 = 148/105
In mixed form: 143/105
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