Add 49/75 and 30/40
49/75 + 30/40 is 421/300.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
49/75 = 49 × 8/75 × 8 = 392/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
30/40 = 30 × 15/40 × 15 = 450/600 - Add the two like fractions:
392/600 + 450/600 = 392 + 450/600 = 842/600 - 842/600 simplified gives 421/300
- So, 49/75 + 30/40 = 421/300
In mixed form: 1121/300
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