Question

1) 3 2/9 + 1 1/6 2) 1 3/8 + 7/56 3) 4 8/15 + 4/9 4) 5/6 + 2 3/10​

Answer 1

1. 5 1/18

2. 1 1/2

3. 4 44/45

4. 3 2/15

Answer 2

1) 3 2/9 + 1 1/6 = 31/9 + 7/6 To add these fractions, we need to find a common denominator. The least common multiple of 9 and 6 is 18. Converting both fractions to have a denominator of 18: (31/9) x (2/2) = 62/18 (7/6) x (3/3) = 21/18

Now we can add the fractions: (62/18) + (21/18) = (62 + 21)/18 = 83/18

So, 3 2/9 + 1 1/6 = 83/18

2) 1 3/8 + 7/56 = 11/8 + 1/8 The denominators are already the same, so we can simply add the numerators: 11/8 + 1/8 = 12/8

However, 12/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4: (12/4) / (8/4) = 3/2

So, 1 3/8 + 7/56 = 3/2

3) 4 8/15 + 4/9 Again, we need to find a common denominator. The least common multiple of 15 and 9 is 45. Converting both fractions to have a denominator of 45: (4/15) x (3/3) = 12/45 (4/9) x (5/5) = 20/45

Now we can add the fractions: (12/45) + (20/45) = (12 + 20)/45 = 32/45

So, 4 8/15 + 4/9 = 32/45

4) 5/6 + 2 3/10 Once again, we need to find a common denominator. The least common multiple of 6 and 10 is 30. Converting both fractions to have a denominator of 30: (5/6) x (5/5) = 25/30 (2/10) x (3/3) = 6/30

Now we can add the fractions: (25/30) + (6/30) = (25 + 6)/30 = 31/30

So, 5/6 + 2 3/10 = 31/30