Add 40/75 and 49/90
40/75 + 49/90 is 97/90.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 90 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 90 × 5 = 450,
49/90 = 49 × 5/90 × 5 = 245/450 - Add the two like fractions:
240/450 + 245/450 = 240 + 245/450 = 485/450 - 485/450 simplified gives 97/90
- So, 40/75 + 49/90 = 97/90
In mixed form: 17/90
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