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What is 1.64 as a mixed number in simplest form?

Answer :

1.64⇒[tex]1 \frac{64}{100} [/tex]

To reduce, find a common factor

64÷2=32 and 100÷2=50

It can be reduced again

32÷2=16 and 50÷2=25

Answer: [tex]1 \frac{16}{25} [/tex]

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Rewritten by : Barada

1.64 as a mixed number in simplest form is [tex]1\frac{16}{25}[/tex].

1.64 can be split into its whole number part and its fractional part.

The whole number part is 1, and the fractional part is 0.64.

To convert the fractional part to a fraction, we need to determine the denominator based on the number of decimal places.

There are two decimal places, so the denominator will be 100 (10 raised to the power of 2).

We take the fractional part (0.64) and write it as a fraction with the determined denominator:

0.64 = 64/100

Now, we can combine the whole number part and the fraction:

1 + 64/100 = [tex]1\frac{64}{100}[/tex]

We can find the greatest common divisor (GCD) of the numerator and denominator, which is 4:

64/100

= (64/4) / (100/4)

= 16/25

Therefore, 1.64 as a mixed number in simplest form is [tex]1\frac{16}{25}[/tex].

To learn more on Fractions click:

https://brainly.com/question/10354322

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