Add 30/40 and 40/7
1st number: 30/40, 2nd number: 5 5/7
30/40 + 40/7 is 181/28.
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,
40/7 = 40 × 40/7 × 40 = 1600/280 - Add the two like fractions:
210/280 + 1600/280 = 210 + 1600/280 = 1810/280 - 1810/280 simplified gives 181/28
- So, 30/40 + 40/7 = 181/28
In mixed form: 613/28
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