Add 35/8 and 45/21
1st number: 4 3/8, 2nd number: 2 3/21
35/8 + 45/21 is 365/56.
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,
45/21 = 45 × 8/21 × 8 = 360/168 - Add the two like fractions:
735/168 + 360/168 = 735 + 360/168 = 1095/168 - 1095/168 simplified gives 365/56
- So, 35/8 + 45/21 = 365/56
In mixed form: 629/56
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