Add 7/30 and 40/42
7/30 + 40/42 is 83/70.
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,
7/30 = 7 × 7/30 × 7 = 49/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Add the two like fractions:
49/210 + 200/210 = 49 + 200/210 = 249/210 - 249/210 simplified gives 83/70
- So, 7/30 + 40/42 = 83/70
In mixed form: 113/70
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