Add 9/21 and 45/49
9/21 + 45/49 is 66/49.
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,
9/21 = 9 × 7/21 × 7 = 63/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
45/49 = 45 × 3/49 × 3 = 135/147 - Add the two like fractions:
63/147 + 135/147 = 63 + 135/147 = 198/147 - 198/147 simplified gives 66/49
- So, 9/21 + 45/49 = 66/49
In mixed form: 117/49
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