Add 30/42 and 60/40
1st number: 30/42, 2nd number: 1 20/40
30/42 + 60/40 is 31/14.
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,
30/42 = 30 × 20/42 × 20 = 600/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
60/40 = 60 × 21/40 × 21 = 1260/840 - Add the two like fractions:
600/840 + 1260/840 = 600 + 1260/840 = 1860/840 - 1860/840 simplified gives 31/14
- So, 30/42 + 60/40 = 31/14
In mixed form: 23/14
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