Add 27/40 and 15/42
27/40 + 15/42 is 289/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 42 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 40 × 21 = 840,
27/40 = 27 × 21/40 × 21 = 567/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
15/42 = 15 × 20/42 × 20 = 300/840 - Add the two like fractions:
567/840 + 300/840 = 567 + 300/840 = 867/840 - 867/840 simplified gives 289/280
- So, 27/40 + 15/42 = 289/280
In mixed form: 19/280
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