Add 75/8 and 24/45
1st number: 9 3/8, 2nd number: 24/45
75/8 + 24/45 is 1189/120.
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,
75/8 = 75 × 45/8 × 45 = 3375/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
24/45 = 24 × 8/45 × 8 = 192/360 - Add the two like fractions:
3375/360 + 192/360 = 3375 + 192/360 = 3567/360 - 3567/360 simplified gives 1189/120
- So, 75/8 + 24/45 = 1189/120
In mixed form: 9109/120
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