Add 30/75 and 35/40
30/75 + 35/40 is 51/40.
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,
30/75 = 30 × 8/75 × 8 = 240/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
35/40 = 35 × 15/40 × 15 = 525/600 - Add the two like fractions:
240/600 + 525/600 = 240 + 525/600 = 765/600 - 765/600 simplified gives 51/40
- So, 30/75 + 35/40 = 51/40
In mixed form: 111/40
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