Add 21/8 and 49/35
1st number: 2 5/8, 2nd number: 1 14/35
21/8 + 49/35 is 161/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 35 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 8 × 35 = 280,
21/8 = 21 × 35/8 × 35 = 735/280 - Likewise, for the 2nd fraction, since 35 × 8 = 280,
49/35 = 49 × 8/35 × 8 = 392/280 - Add the two like fractions:
735/280 + 392/280 = 735 + 392/280 = 1127/280 - 1127/280 simplified gives 161/40
- So, 21/8 + 49/35 = 161/40
In mixed form: 41/40
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