Add 4/5 and 21/49
4/5 + 21/49 is 43/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 5 × 49 = 245,
4/5 = 4 × 49/5 × 49 = 196/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
21/49 = 21 × 5/49 × 5 = 105/245 - Add the two like fractions:
196/245 + 105/245 = 196 + 105/245 = 301/245 - 301/245 simplified gives 43/35
- So, 4/5 + 21/49 = 43/35
In mixed form: 18/35
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