Add 9/40 and 42/54
9/40 + 42/54 is 361/360.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 54 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
9/40 = 9 × 27/40 × 27 = 243/1080 - Likewise, for the 2nd fraction, since 54 × 20 = 1080,
42/54 = 42 × 20/54 × 20 = 840/1080 - Add the two like fractions:
243/1080 + 840/1080 = 243 + 840/1080 = 1083/1080 - 1083/1080 simplified gives 361/360
- So, 9/40 + 42/54 = 361/360
In mixed form: 11/360
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