Respuesta :

Answer:

You are correct

Step-by-step explanation:

Start with 1 1/2. This can be made into an improper fraction which is 3/2

Now multiply both top and bottom of 3/2 by 5

(3*5)/(2 * 5) = 15 / 10

16/10 is just slightly bigger than 15/10

gmany

The fraction is grather than 1 if the numerator is greater than denominator.

The fraction is less than 1 if the numerator is less than denominator.

The fraction is equal 1 if the numerator is equal the denominator.

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[tex]a.\ \text{greater than 1:}\ \dfrac{4}{3},\ \dfrac{7}{5};\ \dfrac{16}{10}\\\\b.\ \text{less than 1:}\ \dfrac{1}{3};\ \dfrac{12}{15};\ \dfrac{3}{10};\ \dfrac{3}{5}\\\\c.\ \text{equal to 1:}\ \dfrac{3}{3}[/tex]


[tex]\dfrac{16}{10}=\dfrac{10+6}{10}=\dfrac{10}{10}+\dfrac{6}{10}=1+\dfrac{6}{10}=1\dfrac{6}{10}=1\dfrac{6:2}{10:2}=1\dfrac{3}{5}\\\\3\text{ is greater than half of 5.}\ \text{Therefore}\ \dfrac{3}{5}>\dfrac{1}{2}.\\\\\text{Therefore}\ \dfrac{16}{10}>1\dfrac{1}{2}.\\\\OTHER:\\\\\dfrac{16}{10}=1\dfrac{6}{10}\\\\1\dfrac{1}{2}=1\dfrac{1\cdot5}{2\cdot5}=1\dfrac{5}{10}<1\dfrac{6}{10}\\\\OTHER\\\\\dfrac{16}{10}=1\dfrac{6}{10}=1.6\\\\1\dfrac{1}{2}=1.5\\\\1.6>1.5\Rightarrow\dfrac{16}{10}>1\dfrac{1}{2}[/tex]