Question

1. you be the teacher your friend says \\(\frac{5}{12}\\) is equivalent to \\(12 \div 5\\). is your friend correct? explain.

Explanation:

Step1: Recall fraction - division relationship

A fraction $\frac{a}{b}$ (where $b
eq0$) is equivalent to the division operation $a\div b$. This is because the fraction bar can be thought of as a division symbol, where the numerator $a$ is the dividend and the denominator $b$ is the divisor.

Step2: Analyze $\frac{5}{12}$ and $12\div5$

For the fraction $\frac{5}{12}$, using the fraction - division relationship, we have $\frac{5}{12}=5\div12$.
The expression given by the friend is $12\div5$, which is different from $5\div12$.

Answer:

Your friend is not correct. By the definition of the relationship between fractions and division, a fraction $\frac{a}{b}$ ($b
eq0$) is equal to $a\div b$. So, $\frac{5}{12}$ should be equal to $5\div12$, not $12\div5$.