Add 9/40 and 36/45
9/40 + 36/45 is 41/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
9/40 = 9 × 9/40 × 9 = 81/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
36/45 = 36 × 8/45 × 8 = 288/360 - Add the two like fractions:
81/360 + 288/360 = 81 + 288/360 = 369/360 - 369/360 simplified gives 41/40
- So, 9/40 + 36/45 = 41/40
In mixed form: 11/40
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