Add 40/75 and 84/45
1st number: 40/75, 2nd number: 1 39/45
40/75 + 84/45 is 12/5.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 45 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 75 × 3 = 225,
40/75 = 40 × 3/75 × 3 = 120/225 - Likewise, for the 2nd fraction, since 45 × 5 = 225,
84/45 = 84 × 5/45 × 5 = 420/225 - Add the two like fractions:
120/225 + 420/225 = 120 + 420/225 = 540/225 - 540/225 simplified gives 12/5
- So, 40/75 + 84/45 = 12/5
In mixed form: 22/5
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