Question

Дроби 9 2/3+1 1/4, 13 1/5+ 4 2/7

Answer 1

1. 10 11/12
2. 17 17/35

Answer 2

To add fractions, you need to make sure they have the same denominator. Let's first add the whole numbers and then work with the fractions separately.

1. Adding 9 2/3 and 1 1/4: First, we add the whole numbers: 9 + 1 = 10.

Now, let's work with the fractions. The common denominator for 3 and 4 is 12.

9 2/3 = (9 * 3 + 2)/3 = 29/3 (since 3 goes into 9 three times with a remainder of 2) 1 1/4 = (1 * 4 + 1)/4 = 5/4

Now, add the fractions: 29/3 + 5/4

To find a common denominator for 3 and 4, we take the least common multiple (LCM) of 3 and 4, which is 12.

(29/3) * (4/4) = 116/12 (Multiplying the numerator and denominator of the first fraction by 4) (5/4) * (3/3) = 15/12 (Multiplying the numerator and denominator of the second fraction by 3)

Now, we can add the fractions: 116/12 + 15/12 = 131/12.

So, the final answer is 10 11/12.

2. Adding 13 1/5 and 4 2/7: First, we add the whole numbers: 13 + 4 = 17.

Now, let's work with the fractions. The common denominator for 5 and 7 is 35.

13 1/5 = (13 * 5 + 1)/5 = 66/5 4 2/7 = (4 * 7 + 2)/7 = 30/7

Now, add the fractions: 66/5 + 30/7

To find a common denominator for 5 and 7, we take the least common multiple (LCM) of 5 and 7, which is 35.

(66/5) * (7/7) = 462/35 (Multiplying the numerator and denominator of the first fraction by 7) (30/7) * (5/5) = 150/35 (Multiplying the numerator and denominator of the second fraction by 5)

Now, we can add the fractions: 462/35 + 150/35 = 612/35.

So, the final answer is 17 17/35.