Question
Express the following ratios in the simplest form:
$480 : 384$
$480 : 384$
✓
Answer
The given ratio $=480:384=\frac{480}{384}$
To express it in simplest form, we divide the numerator and denominator by the $HCF$ of $480$ and $384$.
Now, $HCF$ of $480$ and $384 = 96$
$\therefore\frac{480}{384}=\frac{480\div96}{384\div96}=\frac{5}{4}$
$\therefore\text{Required ratio}=5:4$
To express it in simplest form, we divide the numerator and denominator by the $HCF$ of $480$ and $384$.
Now, $HCF$ of $480$ and $384 = 96$
$\therefore\frac{480}{384}=\frac{480\div96}{384\div96}=\frac{5}{4}$
$\therefore\text{Required ratio}=5:4$
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