Add 14/30 and 45/21
1st number: 14/30, 2nd number: 2 3/21
14/30 + 45/21 is 274/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 21 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 21 × 10 = 210,
45/21 = 45 × 10/21 × 10 = 450/210 - Add the two like fractions:
98/210 + 450/210 = 98 + 450/210 = 548/210 - 548/210 simplified gives 274/105
- So, 14/30 + 45/21 = 274/105
In mixed form: 264/105
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