Add 30/40 and 40/75
30/40 + 40/75 is 77/60.
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,
40/75 = 40 × 8/75 × 8 = 320/600 - Add the two like fractions:
450/600 + 320/600 = 450 + 320/600 = 770/600 - 770/600 simplified gives 77/60
- So, 30/40 + 40/75 = 77/60
In mixed form: 117/60
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