Add 30/40 and 30/35
30/40 + 30/35 is 45/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 35 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
30/40 = 30 × 7/40 × 7 = 210/280 - Likewise, for the 2nd fraction, since 35 × 8 = 280,
30/35 = 30 × 8/35 × 8 = 240/280 - Add the two like fractions:
210/280 + 240/280 = 210 + 240/280 = 450/280 - 450/280 simplified gives 45/28
- So, 30/40 + 30/35 = 45/28
In mixed form: 117/28
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