Add 14/30 and 48/7
1st number: 14/30, 2nd number: 6 6/7
14/30 + 48/7 is 769/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 7 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
14/30 = 14 × 7/30 × 7 = 98/210 - Likewise, for the 2nd fraction, since 7 × 30 = 210,
48/7 = 48 × 30/7 × 30 = 1440/210 - Add the two like fractions:
98/210 + 1440/210 = 98 + 1440/210 = 1538/210 - 1538/210 simplified gives 769/105
- So, 14/30 + 48/7 = 769/105
In mixed form: 734/105
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