Add 4/7 and 21/45
4/7 + 21/45 is 109/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 7 × 45 = 315,
4/7 = 4 × 45/7 × 45 = 180/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
21/45 = 21 × 7/45 × 7 = 147/315 - Add the two like fractions:
180/315 + 147/315 = 180 + 147/315 = 327/315 - 327/315 simplified gives 109/105
- So, 4/7 + 21/45 = 109/105
In mixed form: 14/105
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