Add 40/30 and 9/35
1st number: 1 10/30, 2nd number: 9/35
40/30 + 9/35 is 167/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 35 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 35 × 6 = 210,
9/35 = 9 × 6/35 × 6 = 54/210 - Add the two like fractions:
280/210 + 54/210 = 280 + 54/210 = 334/210 - 334/210 simplified gives 167/105
- So, 40/30 + 9/35 = 167/105
In mixed form: 162/105
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