Add 30/40 and 35/7
1st number: 30/40, 2nd number: 5 0/7
30/40 + 35/7 is 23/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 7 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 7 × 40 = 280,
35/7 = 35 × 40/7 × 40 = 1400/280 - Add the two like fractions:
210/280 + 1400/280 = 210 + 1400/280 = 1610/280 - 1610/280 simplified gives 23/4
- So, 30/40 + 35/7 = 23/4
In mixed form: 53/4
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