Add 42/40 and 27/45
1st number: 1 2/40, 2nd number: 27/45
42/40 + 27/45 is 33/20.
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,
42/40 = 42 × 9/40 × 9 = 378/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
27/45 = 27 × 8/45 × 8 = 216/360 - Add the two like fractions:
378/360 + 216/360 = 378 + 216/360 = 594/360 - 594/360 simplified gives 33/20
- So, 42/40 + 27/45 = 33/20
In mixed form: 113/20
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