Question

1.3 1/2 + 5 2/7 2.4 2/5 + 9 3/10

Answer 1

1/2+5 2/7=1.5
2/5+9 3/10=1.6

Answer 2

To solve the given addition problems, let's start with each one separately:

1.3 1/2 + 5 2/7: To add mixed numbers, we need to convert them into improper fractions and then add them.

Converting 1/2 to an improper fraction: 1/2 = (1 * 2 + 1) / 2 = 3/2

Converting 2/7 to an improper fraction: 2/7 = (2 * 7 + 2) / 7 = 16/7

Now, let's add the fractions: 1.3 1/2 + 5 2/7 = 1.3 + 3/2 + 5 + 16/7

To add mixed numbers, we can add the whole numbers and fractions separately: 1.3 + 5 = 6.3

3/2 + 16/7: To add these fractions, we need to find a common denominator, which is the least common multiple (LCM) of 2 and 7, which is 14.

3/2 = (3 * 7) / (2 * 7) = 21/14 16/7 = (16 * 2) / (7 * 2) = 32/14

Now, we can add the fractions: 21/14 + 32/14 = (21 + 32) / 14 = 53/14

Putting it all together: 1.3 1/2 + 5 2/7 = 6.3 + 53/14

Now, we need to add the mixed number and the fraction. To do this, we convert the mixed number into a fraction and then add the fractions.

6.3 = (6 * 10 + 3) / 10 = 63/10

63/10 + 53/14: To add these fractions, we need to find a common denominator, which is the LCM of 10 and 14, which is 70.

63/10 = (63 * 7) / (10 * 7) = 441/70 53/14 = (53 * 5) / (14 * 5) = 265/70

Now, we can add the fractions: 441/70 + 265/70 = (441 + 265) / 70 = 706/70

Simplifying the fraction: 706/70 = 10

Therefore, the solution to the first addition problem is:

1.3 1/2 + 5 2/7 = 10

Let's move on to the next addition problem:

2.4 2/5 + 9 3/10: Following the same steps as before, we convert the mixed numbers into improper fractions:

2.4 = (2 * 10 + 4) / 10 = 24/10 2/5 = (2 * 2) / (5 * 2) = 4/10

9.3 = (9 * 10 + 3) / 10 = 93/10 3/10 = (3 * 1) / (10 * 1) = 3/10

Now, let's add the fractions: 24/10 + 4/10 = (24 + 4) / 10 = 28/10

93/10 + 3/10 = (93 + 3) / 10 = 96/10

Putting it all together: 2.4 2/5 + 9 3/10 = 28/10 + 96/10

Now, we can