Respuesta :
Answer:
(A) a=1,b=5,c=9
Step-by-step explanation:
We want to simplify [tex]3\frac{1}{2} \div 2\frac{1}{4}[/tex] for values of a, b and c which satisfies: [tex]a\dfrac{b}{c}[/tex]
[tex]3\dfrac{1}{2} \div 2\dfrac{1}{4}\\\text{Changing each fraction to improper fraction}\\=\dfrac{7}{2}\div \dfrac{9}{4}\\\text{Next, we change the division sign to multiplication by taking reciprocal of the second fraction}\\=\dfrac{7}{2}X \frac{4}{9}\\=\dfrac{7X4}{2X9}\\=\dfrac{28}{18}\\[/tex]Converting our result to mixed fraction
[tex]\dfrac{28}{18}=1\dfrac{10}{18}=1\dfrac{5}{9}\\a=1,b=5,c=9[/tex]
Answer:
The correct values are [tex]a=1[/tex], [tex]b=5[/tex] and [tex]c=9[/tex].
Step-by-step explanation:
Given information:
The mixed fraction are
[tex]3\frac{1}{2}[/tex] and [tex]2\frac{1}{4}[/tex]
Now , Converting them into simple form
As: [tex]7/2[/tex] and [tex]9/4[/tex]
Now , dividing the above fraction and cross multiplying
We get,
[tex]=\frac{7}{2} *\frac{4}{9}[/tex]
[tex]=\frac{28}{18} \\\\[/tex]
[tex]=\frac{14}{9}[/tex]
Now converting it into mixed fraction as [tex]1\frac{5}{9}[/tex].
Hence, the correct values are [tex]a=1[/tex], [tex]b=5[/tex] and [tex]c=9[/tex].
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