Add 30/40 and 3/42
30/40 + 3/42 is 23/28.
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,
30/40 = 30 × 21/40 × 21 = 630/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
3/42 = 3 × 20/42 × 20 = 60/840 - Add the two like fractions:
630/840 + 60/840 = 630 + 60/840 = 690/840 - 690/840 simplified gives 23/28
- So, 30/40 + 3/42 = 23/28
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