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Answer 1

Austin uses $0\frac{9}{4}$ yards of ribbon to decorate the poster.

• A fraction represented by a quotient and a remainder is a mixed number. For example, 2 1/3 is a mixed fraction,  2 is the quotient, and 1 is the remainder. A mixed number is a combination of integers and real numbers.
• To convert a mixed number to an improper fraction, first  multiply the denominator of the proper fraction by the corresponding integer, then add the numerator.

Austin has $3\frac{3}{8}$ yards of ribbon which means on simplifying it gives

$3\frac{3}{8}=\frac{3\times8+3}{8} =\frac{27}{8}$ yards of ribbon .

He uses $\frac{2}{3}$ of the ribbon to decorate a poster, then the amount of ribbon he uses is given by

$=\frac{2}{3}\times \frac{27}{8}$

$=\frac{9}{4}$

In mixed number it can be written as $0\frac{9}{4}$ .

Learn more about mixed number here:

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The complete question is mention below :

Austin has $3\frac{3}{8}$ yards of ribbon. He uses $\frac{2}{3}$ of the ribbon to decorate a poster. How many yards of ribbon does Austin use to decorate the poster? Move numbers to the boxes to show the answer. If there is no whole number  in the first box.