Question

Кто может помочь решить такое уравнение: (дроби) f+4/5=4/7+3/7 , если можно с пояснениями пожалуйста.

Answer 1

F+4/5=4/7+3/7
приводим к общему знаменателю обе части уравнения
5f/5+4/5=4/7+3/7
(5f+4)/5=(4+3)/7
(5f+4)/5=1
5f+4=5
5f=1
f=1/5

Answer 2

Solving the Equation with Fractions

To solve the equation f + 4/5 = 4/7 + 3/7, we can follow these steps:

1. Find a Common Denominator: To add or subtract fractions, we need to have a common denominator. In this case, the common denominator for 5, 7, and 7 is 35.

2. Rewrite Fractions with the Common Denominator: We rewrite the fractions with the common denominator of 35.

3. Perform the Addition: Once the fractions are rewritten with the common denominator, we can add or subtract the numerators.

Let's solve the equation step by step.

Step 1: Find a Common Denominator

The common denominator for 5, 7, and 7 is 35.

Step 2: Rewrite Fractions with the Common Denominator

- 4/5 becomes 28/35 (multiplied the numerator and denominator by 7). - 4/7 remains 4/7. - 3/7 remains 3/7.

Step 3: Perform the Addition

Now, we can add the fractions: f + 28/35 = 4/7 + 3/7

Conclusion

By following these steps, we can solve the equation and find the value of f.