To find the equivalent fraction of [tex]\(\frac{128}{224}\)[/tex] with the denominator 14, follow these steps:
1. Determine the Adjustment Factor:
To convert the original denominator (224) to the new denominator (14), we need to find the factor by which 224 is divided to result in 14. This factor can be calculated as:
[tex]\[
\text{Factor} = \frac{224}{14}
\][/tex]
This simplifies to:
[tex]\[
\text{Factor} = 16
\][/tex]
2. Adjust the Numerator:
To find the new numerator, we divide the original numerator (128) by this factor. The new numerator can be found using:
[tex]\[
\text{New Numerator} = \frac{128}{16}
\][/tex]
This simplifies to:
[tex]\[
\text{New Numerator} = 8
\][/tex]
3. Write the Equivalent Fraction:
Now that we have the new numerator and the specified new denominator, we can express the equivalent fraction:
[tex]\[
\frac{128}{224} \approx \frac{8}{14}
\][/tex]
So, the equivalent fraction of [tex]\(\frac{128}{224}\)[/tex] with a denominator of 14 is:
[tex]\[
\frac{8}{14}
\][/tex]
