Add 5/30 and 40/42
5/30 + 40/42 is 47/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
5/30 = 5 × 7/30 × 7 = 35/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Add the two like fractions:
35/210 + 200/210 = 35 + 200/210 = 235/210 - 235/210 simplified gives 47/42
- So, 5/30 + 40/42 = 47/42
In mixed form: 15/42
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