Add 40/30 and 49/42
1st number: 1 10/30, 2nd number: 1 7/42
40/30 + 49/42 is 5/2.
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,
40/30 = 40 × 7/30 × 7 = 280/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
49/42 = 49 × 5/42 × 5 = 245/210 - Add the two like fractions:
280/210 + 245/210 = 280 + 245/210 = 525/210 - 525/210 simplified gives 5/2
- So, 40/30 + 49/42 = 5/2
In mixed form: 21/2
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