Add 8/45 and 9/40
8/45 + 9/40 is 29/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
8/45 = 8 × 8/45 × 8 = 64/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
9/40 = 9 × 9/40 × 9 = 81/360 - Add the two like fractions:
64/360 + 81/360 = 64 + 81/360 = 145/360 - 145/360 simplified gives 29/72
- So, 8/45 + 9/40 = 29/72
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