# How do you write the fraction 8/11 as an equivalent fraction with a denominator of 55?

Let's start with our original fraction:

We want the denominator to change to the number 55, which is exactly 5 times larger than the current denominator of 11. So we can multiply the denominator by 5. But to not change the value of the fraction, we need to also multiply the numerator by 5 as well:

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To write the fraction ( \frac{8}{11} ) with a denominator of 55, you need to multiply both the numerator and the denominator by the same number such that the denominator becomes 55. Since 11 multiplied by 5 equals 55, you multiply both the numerator and denominator by 5:

[ \frac{8}{11} \times \frac{5}{5} = \frac{8 \times 5}{11 \times 5} = \frac{40}{55} ]

So, ( \frac{8}{11} ) is equivalent to ( \frac{40}{55} ) when the denominator is 55.

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