Add 9/28 and 40/35
1st number: 9/28, 2nd number: 1 5/35
9/28 + 40/35 is 41/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 35 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 28 × 5 = 140,
9/28 = 9 × 5/28 × 5 = 45/140 - Likewise, for the 2nd fraction, since 35 × 4 = 140,
40/35 = 40 × 4/35 × 4 = 160/140 - Add the two like fractions:
45/140 + 160/140 = 45 + 160/140 = 205/140 - 205/140 simplified gives 41/28
- So, 9/28 + 40/35 = 41/28
In mixed form: 113/28
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