Answers

Add 9/40 and 6/45

9/40 + 6/45 is 43/120.

Steps for adding fractions

1. 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
2. For the 1st fraction, since 40 × 9 = 360,
   9/40 = 9 × 9/40 × 9 = 81/360
3. Likewise, for the 2nd fraction, since 45 × 8 = 360,
   6/45 = 6 × 8/45 × 8 = 48/360
4. Add the two like fractions:
   81/360 + 48/360 = 81 + 48/360 = 129/360
5. 129/360 simplified gives 43/120
6. So, 9/40 + 6/45 = 43/120

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