Add 40/7 and 14/30
1st number: 5 5/7, 2nd number: 14/30
40/7 + 14/30 is 649/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 7 × 30 = 210,
40/7 = 40 × 30/7 × 30 = 1200/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
14/30 = 14 × 7/30 × 7 = 98/210 - Add the two like fractions:
1200/210 + 98/210 = 1200 + 98/210 = 1298/210 - 1298/210 simplified gives 649/105
- So, 40/7 + 14/30 = 649/105
In mixed form: 619/105
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