Question

2/3=2*4/3*4= 5/7=5*2/7*2​

Answer 1

Ответ:

2/3=10 2/3

5/7=2 6/7

как то так

Answer 2

Let's break down the given expression step by step:

1. $\frac{2}{3}$: This is the starting fraction.

2. $\frac{2 \times 4}{3 \times 4}$: This step involves multiplying the numerator and denominator by 4, which doesn't change the value of the fraction. It's a way to rewrite the fraction with equivalent terms.

   Simplifying this, we get $\frac{8}{12}$, which is still equivalent to $\frac{2}{3}$ since both numerator and denominator are divisible by 4.

3. $\frac{8}{12}$ in terms of $\frac{a}{b}$ form: We want to express $\frac{8}{12}$ in the form $\frac{a}{b}$ where $a$ and $b$ are integers with no common factors other than 1.

   Dividing both numerator and denominator by the greatest common divisor (GCD), which is 4 in this case, we get $\frac{2}{3}$.

4. $\frac{5}{7}$: This is another fraction given.

5. $\frac{5 \times 2}{7 \times 2}$: Similar to step 2, we're multiplying the numerator and denominator by 2, which doesn't change the value of the fraction. It's another way to rewrite the fraction with equivalent terms.

   Simplifying this, we get $\frac{10}{14}$, which is still equivalent to $\frac{5}{7}$ since both numerator and denominator are divisible by 2.

6. $\frac{10}{14}$ in terms of $\frac{a}{b}$ form: We want to express $\frac{10}{14}$ in the form $\frac{a}{b}$ where $a$ and $b$ are integers with no common factors other than 1.

   Dividing both numerator and denominator by the greatest common divisor (GCD), which is 2 in this case, we get $\frac{5}{7}$.

So, $\frac{2}{3} = \frac{8}{12} = \frac{5}{7} = \frac{10}{14}$, and all these expressions are equivalent.