Add 3/40 and 75/45
1st number: 3/40, 2nd number: 1 30/45
3/40 + 75/45 is 209/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
3/40 = 3 × 9/40 × 9 = 27/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
75/45 = 75 × 8/45 × 8 = 600/360 - Add the two like fractions:
27/360 + 600/360 = 27 + 600/360 = 627/360 - 627/360 simplified gives 209/120
- So, 3/40 + 75/45 = 209/120
In mixed form: 189/120
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