Add 75/90 and 3/40
75/90 + 3/40 is 109/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 90 × 4 = 360,
75/90 = 75 × 4/90 × 4 = 300/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
3/40 = 3 × 9/40 × 9 = 27/360 - Add the two like fractions:
300/360 + 27/360 = 300 + 27/360 = 327/360 - 327/360 simplified gives 109/120
- So, 75/90 + 3/40 = 109/120
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