Question

4/9:7/3 14/25:2/5 3/7:1/7​

Answer 1

Ответ:

1. 4/9÷7/3=4/9×3/7=4/3×1/7=4/21

2. 14/25÷2/5=14/25×5/2=7/5×1/1=7/5=1 2/5=1,4

3. 3/7÷1/7=3/7×7/1=3/1×1/1=3

Answer 2

To solve the expression 4/9 ÷ 7/3 + 14/25 ÷ 2/5 + 3/7 ÷ 1/7, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

Let's break down the expression step by step:

1. Division: - 4/9 ÷ 7/3 = (4/9) * (3/7) = (4 * 3) / (9 * 7) = 12/63 = 4/21. [[1]]

2. Division: - 14/25 ÷ 2/5 = (14/25) * (5/2) = (14 * 5) / (25 * 2) = 70/50 = 7/5. [[2]]

3. Division: - 3/7 ÷ 1/7 = (3/7) * (7/1) = (3 * 7) / (7 * 1) = 21/7 = 3. [[3]]

Now, let's add the results together:

4/21 + 7/5 + 3 = (4/21) + (7/5) + 3

To add fractions, we need to find a common denominator. The least common multiple (LCM) of 21 and 5 is 105. Let's convert the fractions to have a denominator of 105:

(4/21) * (5/5) = 20/105 (7/5) * (21/21) = 147/105

Now, we can add the fractions:

20/105 + 147/105 + 3 = (20 + 147 + 315) / 105 = 482/105 = 4 62/105.

Therefore, the result of the expression 4/9 ÷ 7/3 + 14/25 ÷ 2/5 + 3/7 ÷ 1/7 is 4 62/105.

I hope this helps! Let me know if you have any further questions.