Add 35/8 and 75/21
1st number: 4 3/8, 2nd number: 3 12/21
35/8 + 75/21 is 445/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 21 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 8 × 21 = 168,
35/8 = 35 × 21/8 × 21 = 735/168 - Likewise, for the 2nd fraction, since 21 × 8 = 168,
75/21 = 75 × 8/21 × 8 = 600/168 - Add the two like fractions:
735/168 + 600/168 = 735 + 600/168 = 1335/168 - 1335/168 simplified gives 445/56
- So, 35/8 + 75/21 = 445/56
In mixed form: 753/56
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