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Problem

is 27.64 equivalent to 27 and 16/25 explain

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High School Teacher - Tutor for 4 years

Determine if the values of 2 numbers are not equal

$27.64$； $27 \frac{16}{25}$

Yes, $27.64$ is equivalent to 27 and 16/25.

To determine if $27.64$ is equivalent to $27 \frac{16}{25}$, let's convert the fractional part of $27 \frac{16}{25}$ into decimal form:

The fraction $\frac{16}{25}$ can be converted into a decimal by dividing $16$ by $25$:

$ \frac{16}{25}= \frac{16}{25} \times \frac{4}{4} $

$ \frac{16}{25} \times \frac{4}{4} = \frac{16 \times 4}{25 \times 4} $

$\frac{16 \times 4}{25 \times 4} =\frac{64}{100}$

$\frac{64}{100}=0.64$

Therefore, $27 \frac{16}{25}$ as a mixed number is equivalent to $27 + 0.64 = 27.64$ in decimal form.

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