Add 40/35 and 21/42
1st number: 1 5/35, 2nd number: 21/42
40/35 + 21/42 is 23/14.
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,
40/35 = 40 × 6/35 × 6 = 240/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
21/42 = 21 × 5/42 × 5 = 105/210 - Add the two like fractions:
240/210 + 105/210 = 240 + 105/210 = 345/210 - 345/210 simplified gives 23/14
- So, 40/35 + 21/42 = 23/14
In mixed form: 19/14
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