Add 35/42 and 8/40
35/42 + 8/40 is 31/30.
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,
8/40 = 8 × 21/40 × 21 = 168/840 - Add the two like fractions:
700/840 + 168/840 = 700 + 168/840 = 868/840 - 868/840 simplified gives 31/30
- So, 35/42 + 8/40 = 31/30
In mixed form: 11/30
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