Add 30/40 and 56/75
30/40 + 56/75 is 449/300.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 40 × 15 = 600,
30/40 = 30 × 15/40 × 15 = 450/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
56/75 = 56 × 8/75 × 8 = 448/600 - Add the two like fractions:
450/600 + 448/600 = 450 + 448/600 = 898/600 - 898/600 simplified gives 449/300
- So, 30/40 + 56/75 = 449/300
In mixed form: 1149/300
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