Add 30/42 and 49/40
1st number: 30/42, 2nd number: 1 9/40
30/42 + 49/40 is 543/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 42 × 20 = 840,
30/42 = 30 × 20/42 × 20 = 600/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
49/40 = 49 × 21/40 × 21 = 1029/840 - Add the two like fractions:
600/840 + 1029/840 = 600 + 1029/840 = 1629/840 - 1629/840 simplified gives 543/280
- So, 30/42 + 49/40 = 543/280
In mixed form: 1263/280
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