Add 20/42 and 49/75
20/42 + 49/75 is 593/525.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 42 × 25 = 1050,
20/42 = 20 × 25/42 × 25 = 500/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
49/75 = 49 × 14/75 × 14 = 686/1050 - Add the two like fractions:
500/1050 + 686/1050 = 500 + 686/1050 = 1186/1050 - 1186/1050 simplified gives 593/525
- So, 20/42 + 49/75 = 593/525
In mixed form: 168/525
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