Add 40/15 and 21/49
1st number: 2 10/15, 2nd number: 21/49
40/15 + 21/49 is 65/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 49 is 735
Next, find the equivalent fraction of both fractional numbers with denominator 735 - For the 1st fraction, since 15 × 49 = 735,
40/15 = 40 × 49/15 × 49 = 1960/735 - Likewise, for the 2nd fraction, since 49 × 15 = 735,
21/49 = 21 × 15/49 × 15 = 315/735 - Add the two like fractions:
1960/735 + 315/735 = 1960 + 315/735 = 2275/735 - 2275/735 simplified gives 65/21
- So, 40/15 + 21/49 = 65/21
In mixed form: 32/21
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