Add 75/45 and 9/40
1st number: 1 30/45, 2nd number: 9/40
75/45 + 9/40 is 227/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
75/45 = 75 × 8/45 × 8 = 600/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
9/40 = 9 × 9/40 × 9 = 81/360 - Add the two like fractions:
600/360 + 81/360 = 600 + 81/360 = 681/360 - 681/360 simplified gives 227/120
- So, 75/45 + 9/40 = 227/120
In mixed form: 1107/120
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