Add 35/8 and 24/45
1st number: 4 3/8, 2nd number: 24/45
35/8 + 24/45 is 589/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 8 × 45 = 360,
35/8 = 35 × 45/8 × 45 = 1575/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
24/45 = 24 × 8/45 × 8 = 192/360 - Add the two like fractions:
1575/360 + 192/360 = 1575 + 192/360 = 1767/360 - 1767/360 simplified gives 589/120
- So, 35/8 + 24/45 = 589/120
In mixed form: 4109/120
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