Add 40/75 and 14/7
1st number: 40/75, 2nd number: 2 0/7
40/75 + 14/7 is 38/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 7 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
40/75 = 40 × 7/75 × 7 = 280/525 - Likewise, for the 2nd fraction, since 7 × 75 = 525,
14/7 = 14 × 75/7 × 75 = 1050/525 - Add the two like fractions:
280/525 + 1050/525 = 280 + 1050/525 = 1330/525 - 1330/525 simplified gives 38/15
- So, 40/75 + 14/7 = 38/15
In mixed form: 28/15
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