Add 10/21 and 21/49
10/21 + 21/49 is 19/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 49 is 147
Next, find the equivalent fraction of both fractional numbers with denominator 147 - For the 1st fraction, since 21 × 7 = 147,
10/21 = 10 × 7/21 × 7 = 70/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
21/49 = 21 × 3/49 × 3 = 63/147 - Add the two like fractions:
70/147 + 63/147 = 70 + 63/147 = 133/147 - 133/147 simplified gives 19/21
- So, 10/21 + 21/49 = 19/21
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