(7/9/25+6/7/26)=

Question 1

Задача Задача №40712

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Аноним

11 ноября 2023 01:05 · публичный вопрос

А

Аноним 11 ноября 2023 01:05

(7/9/25+6/7/26)=

Answer

To solve the expression (7/9/25 + 6/7/26), we first need to understand that the expression seems to imply a continued fraction or otherwise unclear grouping of division. It's essential to clarify the grouping of the operations to get a precise result. Assuming you intend to divide by each number in sequence from left to right, the expression would look like this:

[(7 ÷ 9) ÷ 25] + [(6 ÷ 7) ÷ 26]

Now we will solve each part of the expression in sequence:

First part: (7 ÷ 9) ÷ 25 7 divided by 9 is 7/9. Now, (7/9) divided by 25 is the same as (7/9) × (1/25) because dividing by a number is the same as multiplying by its reciprocal. This gives us (7/9) × (1/25), which we can multiply straight across:

Numerator: 7 × 1 = 7 Denominator: 9 × 25 = 225 Thus, we have 7/225 for the first part of the expression.

Second part: (6 ÷ 7) ÷ 26 6 divided by 7 is 6/7. Now, (6/7) divided by 26 is the same as (6/7) × (1/26). Multiplying straight across:

Numerator: 6 × 1 = 6 Denominator: 7 × 26 = 182 So, we have 6/182 for the second part of the expression.

Now, we need to simplify 6/182 before we add it to 7/225. The greatest common divisor (GCD) of 6 and 182 is 2.

So, dividing both the numerator and the denominator by 2, we get:

Numerator: 6 ÷ 2 = 3 Denominator: 182 ÷ 2 = 91 This gives us 3/91.

Now we can add the two fractions together:

7/225 + 3/91

To add these two fractions, we need a common denominator. The least common multiple (LCM) of 225 and 91 is 2025 because 225 × 9 = 2025 and 91 × 22 = 2002.

So, we convert each fraction to have the common denominator:

7/225 = (7 × 9)/(225 × 9) = 63/2025 3/91 = (3 × 22)/(91 × 22) = 66/2025

Now we can add the numerators:

63/2025 + 66/2025 = (63 + 66)/2025 = 129/2025

The result of the expression is 129/2025, and it can be simplified further by dividing both the numerator and the denominator by 3 (the GCD of 129 and 2025):

Numerator: 129 ÷ 3 = 43 Denominator: 2025 ÷ 3 = 675

So, the simplified final result is:

43/675

That's the solution to the expression given the initial interpretation.

Question 2

(7/9/25+6/7/26)=

Answer

To solve the expression (7/9/25 + 6/7/26), we first need to understand that the expression seems to imply a continued fraction or otherwise unclear grouping of division. It's essential to clarify the grouping of the operations to get a precise result. Assuming you intend to divide by each number in sequence from left to right, the expression would look like this: [(7 ÷ 9) ÷ 25] + [(6 ÷ 7) ÷ 26] Now we will solve each part of the expression in sequence: First part: (7 ÷ 9) ÷ 25 7 divided by 9 is 7/9. Now, (7/9) divided by 25 is the same as (7/9) × (1/25) because dividing by a number is the same as multiplying by its reciprocal. This gives us (7/9) × (1/25), which we can multiply straight across: Numerator: 7 × 1 = 7 Denominator: 9 × 25 = 225 Thus, we have 7/225 for the first part of the expression. Second part: (6 ÷ 7) ÷ 26 6 divided by 7 is 6/7. Now, (6/7) divided by 26 is the same as (6/7) × (1/26). Multiplying straight across: Numerator: 6 × 1 = 6 Denominator: 7 × 26 = 182 So, we have 6/182 for the second part of the expression. Now, we need to simplify 6/182 before we add it to 7/225. The greatest common divisor (GCD) of 6 and 182 is 2. So, dividing both the numerator and the denominator by 2, we get: Numerator: 6 ÷ 2 = 3 Denominator: 182 ÷ 2 = 91 This gives us 3/91. Now we can add the two fractions together: 7/225 + 3/91 To add these two fractions, we need a common denominator. The least common multiple (LCM) of 225 and 91 is 2025 because 225 × 9 = 2025 and 91 × 22 = 2002. So, we convert each fraction to have the common denominator: 7/225 = (7 × 9)/(225 × 9) = 63/2025 3/91 = (3 × 22)/(91 × 22) = 66/2025 Now we can add the numerators: 63/2025 + 66/2025 = (63 + 66)/2025 = 129/2025 The result of the expression is 129/2025, and it can be simplified further by dividing both the numerator and the denominator by 3 (the GCD of 129 and 2025): Numerator: 129 ÷ 3 = 43 Denominator: 2025 ÷ 3 = 675 So, the simplified final result is: 43/675 That's the solution to the expression given the initial interpretation.