Add 40/42 and 30/50
40/42 + 30/50 is 163/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 50 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 42 × 25 = 1050,
40/42 = 40 × 25/42 × 25 = 1000/1050 - Likewise, for the 2nd fraction, since 50 × 21 = 1050,
30/50 = 30 × 21/50 × 21 = 630/1050 - Add the two like fractions:
1000/1050 + 630/1050 = 1000 + 630/1050 = 1630/1050 - 1630/1050 simplified gives 163/105
- So, 40/42 + 30/50 = 163/105
In mixed form: 158/105
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