Add 40/75 and 4/7
40/75 + 4/7 is 116/105.
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,
4/7 = 4 × 75/7 × 75 = 300/525 - Add the two like fractions:
280/525 + 300/525 = 280 + 300/525 = 580/525 - 580/525 simplified gives 116/105
- So, 40/75 + 4/7 = 116/105
In mixed form: 111/105
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