Add 75/40 and 84/45
1st number: 1 35/40, 2nd number: 1 39/45
75/40 + 84/45 is 449/120.
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,
75/40 = 75 × 9/40 × 9 = 675/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
84/45 = 84 × 8/45 × 8 = 672/360 - Add the two like fractions:
675/360 + 672/360 = 675 + 672/360 = 1347/360 - 1347/360 simplified gives 449/120
- So, 75/40 + 84/45 = 449/120
In mixed form: 389/120
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