Add 27/42 and 30/40
27/42 + 30/40 is 39/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 42 × 20 = 840,
27/42 = 27 × 20/42 × 20 = 540/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
30/40 = 30 × 21/40 × 21 = 630/840 - Add the two like fractions:
540/840 + 630/840 = 540 + 630/840 = 1170/840 - 1170/840 simplified gives 39/28
- So, 27/42 + 30/40 = 39/28
In mixed form: 111/28
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