Question

karma says that the fraction \\(\frac{7}{8}\\) is equivalent to \\(\frac{3}{4}\\). is she right? exp

Explanation:

Step1: Convert to common denominator

To check equivalence, find a common denominator for $\frac{7}{8}$ and $\frac{3}{4}$. The common denominator of 8 and 4 is 8. Rewrite $\frac{3}{4}$ with denominator 8: $\frac{3\times2}{4\times2}=\frac{6}{8}$.

Step2: Compare the fractions

Now we have $\frac{7}{8}$ and $\frac{6}{8}$. Since $7
eq6$, $\frac{7}{8}
eq\frac{6}{8}$ (wait, the original problem has $\frac{7}{8}$ vs $\frac{3}{4}$? Wait, maybe a typo? Wait, if it's $\frac{6}{8}$ vs $\frac{3}{4}$, but the problem says $\frac{7}{8}$ and $\frac{3}{4}$. Wait, let's re - check. Wait, the user's problem: "Kama says that the fraction $\frac{7}{8}$ is equivalent to $\frac{3}{4}$. Is she right?". So we convert $\frac{3}{4}$ to eighths: $\frac{3}{4}=\frac{3\times2}{4\times2}=\frac{6}{8}$. Now compare $\frac{7}{8}$ and $\frac{6}{8}$. Since the numerators 7 and 6 are different, the fractions are not equal.

Answer:

Kama is not right. To determine if $\frac{7}{8}$ and $\frac{3}{4}$ are equivalent, we find a common denominator (8). Rewrite $\frac{3}{4}$ as $\frac{3\times2}{4\times2}=\frac{6}{8}$. Since $\frac{7}{8}
eq\frac{6}{8}$, the two fractions are not equivalent.