Determine whether the following proportion is true or false by writing the ratios in lowest terms. Show the simplified ratios and then write true or false.

[tex]\[ \frac{48}{20} = \frac{60}{25} \][/tex]

Give the ratios in the same order and use the correct symbol (equal or unequal) between the two simplified ratios.

[tex]\[ \square \][/tex]

To determine whether the proportion [tex]\(\frac{48}{20} = \frac{60}{25}\)[/tex] is true or false, we need to simplify both ratios and compare them.

1. Simplifying [tex]\(\frac{48}{20}\)[/tex]:
- Find the greatest common divisor (GCD) of 48 and 20. The GCD is 4.
- Divide the numerator and the denominator by 4:
[tex]\[
\frac{48}{20} = \frac{48 \div 4}{20 \div 4} = \frac{12}{5}
\][/tex]

2. Simplifying [tex]\(\frac{60}{25}\)[/tex]:
- Find the greatest common divisor (GCD) of 60 and 25. The GCD is 5.
- Divide the numerator and the denominator by 5:
[tex]\[
\frac{60}{25} = \frac{60 \div 5}{25 \div 5} = \frac{12}{5}
\][/tex]

3. Compare the simplified ratios:
- Both simplified ratios are [tex]\(\frac{12}{5}\)[/tex].

Since both ratios simplify to [tex]\(\frac{12}{5}\)[/tex], the original proportion [tex]\(\frac{48}{20} = \frac{60}{25}\)[/tex] is true.