Add 5/7 and 21/45
5/7 + 21/45 is 124/105.
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,
5/7 = 5 × 45/7 × 45 = 225/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
21/45 = 21 × 7/45 × 7 = 147/315 - Add the two like fractions:
225/315 + 147/315 = 225 + 147/315 = 372/315 - 372/315 simplified gives 124/105
- So, 5/7 + 21/45 = 124/105
In mixed form: 119/105
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