Add 10/40 and 30/7
1st number: 10/40, 2nd number: 4 2/7
10/40 + 30/7 is 127/28.
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,
10/40 = 10 × 7/40 × 7 = 70/280 - Likewise, for the 2nd fraction, since 7 × 40 = 280,
30/7 = 30 × 40/7 × 40 = 1200/280 - Add the two like fractions:
70/280 + 1200/280 = 70 + 1200/280 = 1270/280 - 1270/280 simplified gives 127/28
- So, 10/40 + 30/7 = 127/28
In mixed form: 415/28
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