Add 40/75 and 27/24
1st number: 40/75, 2nd number: 1 3/24
40/75 + 27/24 is 199/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 24 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
40/75 = 40 × 8/75 × 8 = 320/600 - Likewise, for the 2nd fraction, since 24 × 25 = 600,
27/24 = 27 × 25/24 × 25 = 675/600 - Add the two like fractions:
320/600 + 675/600 = 320 + 675/600 = 995/600 - 995/600 simplified gives 199/120
- So, 40/75 + 27/24 = 199/120
In mixed form: 179/120
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