Add 35/42 and 35/40
35/42 + 35/40 is 41/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 42 × 20 = 840,
35/42 = 35 × 20/42 × 20 = 700/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
35/40 = 35 × 21/40 × 21 = 735/840 - Add the two like fractions:
700/840 + 735/840 = 700 + 735/840 = 1435/840 - 1435/840 simplified gives 41/24
- So, 35/42 + 35/40 = 41/24
In mixed form: 117/24
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