Add 30/35 and 21/8
1st number: 30/35, 2nd number: 2 5/8
30/35 + 21/8 is 195/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 8 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
30/35 = 30 × 8/35 × 8 = 240/280 - Likewise, for the 2nd fraction, since 8 × 35 = 280,
21/8 = 21 × 35/8 × 35 = 735/280 - Add the two like fractions:
240/280 + 735/280 = 240 + 735/280 = 975/280 - 975/280 simplified gives 195/56
- So, 30/35 + 21/8 = 195/56
In mixed form: 327/56
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