Add 40/30 and 48/35
1st number: 1 10/30, 2nd number: 1 13/35
40/30 + 48/35 is 284/105.
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,
48/35 = 48 × 6/35 × 6 = 288/210 - Add the two like fractions:
280/210 + 288/210 = 280 + 288/210 = 568/210 - 568/210 simplified gives 284/105
- So, 40/30 + 48/35 = 284/105
In mixed form: 274/105
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