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work out the value of 3 4/5 x 10. give your answer as a whole number or as a fraction in its simplest form

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Answer: 38

Step-by-step explanation: To find the value of 3 4/5 x 10, we can first convert the mixed number 3 4/5 to an improper fraction.

To convert a mixed number to an improper fraction, we multiply the whole number by the denominator of the fraction and add the numerator.

For the given mixed number, we have:

3 x 5 + 4 = 15 + 4 = 19

So, 3 4/5 can be written as the improper fraction 19/5.

Next, we multiply this improper fraction by 10.

To multiply a fraction by a whole number, we multiply the numerator by the whole number and keep the denominator the same.

So, 19/5 x 10 = (19 x 10) / 5 = 190 / 5.

To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 5.

Dividing 190 by 5 gives us 38, and dividing 5 by 5 gives us 1.

Therefore, the value of 3 4/5 x 10 is 38.

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