First, rewrite $$ \frac{19}{20} $$ and $$ \frac{23}{25} $$ so that they have a common denominator. Then, use $$ $$ to order $$ \frac{19}{20} $$ and $$ \frac{23}{25} $$. $$ \frac{19}{20}=\frac{\square}{\square} ; \frac{23}{25}=\frac{\square}{\square} \square \frac{23}{25} $$

Question

First, rewrite $$ \frac{19}{20} $$ and $$ \frac{23}{25} $$ so that they have a common denominator. Then, use $$ <,= $$, or $$ > $$ to order $$ \frac{19}{20} $$ and $$ \frac{23}{25} $$. $$ \frac{19}{20}=\frac{\square}{\square} ; \frac{23}{25}=\frac{\square}{\square} \square \frac{23}{25} $$

UpStudy AI · Accepted Answer

We start by finding a common denominator for both fractions. The denominators are $$20$$ and $$25$$. Their least common multiple is $$100$$.

1. Rewrite $$\frac{19}{20}$$ with the denominator $$100$$:
   $$
   \frac{19}{20} = \frac{19 \times 5}{20 \times 5} = \frac{95}{100}
   $$

2. Rewrite $$\frac{23}{25}$$ with the denominator $$100$$:
   $$
   \frac{23}{25} = \frac{23 \times 4}{25 \times 4} = \frac{92}{100}
   $$

Now, comparing the fractions:
$$
\frac{95}{100} \quad \text{and} \quad \frac{92}{100}
$$

Since $$95 > 92$$ we conclude:
$$
\frac{95}{100} > \frac{92}{100} \quad \text{or} \quad \frac{19}{20} > \frac{23}{25}
$$

Thus, the completed answer is:
$$
\frac{19}{20} = \frac{95}{100} ; \quad \frac{23}{25} = \frac{92}{100} \quad \text{and} \quad \frac{19}{20} > \frac{23}{25}
$$
$$ \frac{19}{20} = \frac{95}{100} ; \quad \frac{23}{25} = \frac{92}{100} \quad \text{and} \quad \frac{19}{20} > \frac{23}{25} $$

First, rewrite and so that they have a common denominator.
Then, use , or to order and .

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