Add 40/75 and 21/18
1st number: 40/75, 2nd number: 1 3/18
40/75 + 21/18 is 17/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 18 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 75 × 6 = 450,
40/75 = 40 × 6/75 × 6 = 240/450 - Likewise, for the 2nd fraction, since 18 × 25 = 450,
21/18 = 21 × 25/18 × 25 = 525/450 - Add the two like fractions:
240/450 + 525/450 = 240 + 525/450 = 765/450 - 765/450 simplified gives 17/10
- So, 40/75 + 21/18 = 17/10
In mixed form: 17/10
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