Add 40/15 and 98/21
1st number: 2 10/15, 2nd number: 4 14/21
40/15 + 98/21 is 22/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 15 × 7 = 105,
40/15 = 40 × 7/15 × 7 = 280/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
98/21 = 98 × 5/21 × 5 = 490/105 - Add the two like fractions:
280/105 + 490/105 = 280 + 490/105 = 770/105 - 770/105 simplified gives 22/3
- So, 40/15 + 98/21 = 22/3
In mixed form: 71/3
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