Add 3/21 and 45/49
3/21 + 45/49 is 52/49.
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,
3/21 = 3 × 7/21 × 7 = 21/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
45/49 = 45 × 3/49 × 3 = 135/147 - Add the two like fractions:
21/147 + 135/147 = 21 + 135/147 = 156/147 - 156/147 simplified gives 52/49
- So, 3/21 + 45/49 = 52/49
In mixed form: 13/49
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