High School

Compare each pair of fractions by typing [tex]$\ \textgreater \ ,\ \textless \ $[/tex], or [tex]$=$[/tex] in the blank to make a true statement.

[tex]$\frac{12}{4}$[/tex] [tex]$\qquad$[/tex] [tex]$\frac{48}{12}$[/tex]

Answer: [tex]$\qquad \square$[/tex]

Answer :

To compare the fractions [tex]\(\frac{12}{4}\)[/tex] and [tex]\(\frac{48}{12}\)[/tex], we can start by simplifying each fraction.

1. Simplify [tex]\(\frac{12}{4}\)[/tex]:
- Divide the numerator (12) by the denominator (4).
- [tex]\( \frac{12}{4} = 3 \)[/tex]

2. Simplify [tex]\(\frac{48}{12}\)[/tex]:
- Divide the numerator (48) by the denominator (12).
- [tex]\( \frac{48}{12} = 4 \)[/tex]

Now, we compare the simplified results:

- [tex]\(\frac{12}{4} = 3\)[/tex]
- [tex]\(\frac{48}{12} = 4\)[/tex]

Since 3 is less than 4, we can conclude:
[tex]\[ \frac{12}{4} < \frac{48}{12} \][/tex]

So the answer is [tex]\(<\)[/tex].

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