Add 49/30 and 75/42
1st number: 1 19/30, 2nd number: 1 33/42
49/30 + 75/42 is 359/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
49/30 = 49 × 7/30 × 7 = 343/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
75/42 = 75 × 5/42 × 5 = 375/210 - Add the two like fractions:
343/210 + 375/210 = 343 + 375/210 = 718/210 - 718/210 simplified gives 359/105
- So, 49/30 + 75/42 = 359/105
In mixed form: 344/105
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