Add 75/45 and 81/40
1st number: 1 30/45, 2nd number: 2 1/40
75/45 + 81/40 is 443/120.
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,
81/40 = 81 × 9/40 × 9 = 729/360 - Add the two like fractions:
600/360 + 729/360 = 600 + 729/360 = 1329/360 - 1329/360 simplified gives 443/120
- So, 75/45 + 81/40 = 443/120
In mixed form: 383/120
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