Add 40/50 and 35/42
40/50 + 35/42 is 49/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 50 × 21 = 1050,
40/50 = 40 × 21/50 × 21 = 840/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
35/42 = 35 × 25/42 × 25 = 875/1050 - Add the two like fractions:
840/1050 + 875/1050 = 840 + 875/1050 = 1715/1050 - 1715/1050 simplified gives 49/30
- So, 40/50 + 35/42 = 49/30
In mixed form: 119/30
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