Add 49/75 and 98/42
1st number: 49/75, 2nd number: 2 14/42
49/75 + 98/42 is 224/75.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
49/75 = 49 × 14/75 × 14 = 686/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
98/42 = 98 × 25/42 × 25 = 2450/1050 - Add the two like fractions:
686/1050 + 2450/1050 = 686 + 2450/1050 = 3136/1050 - 3136/1050 simplified gives 224/75
- So, 49/75 + 98/42 = 224/75
In mixed form: 274/75
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