Which values of a, b, and c correctly represent the answer in simplest form? 3 and one-half divided by 2 and one-fourth = a StartFraction b Over c EndFraction a = 1, b = 5, c = 9 a = 10, b = 18, c = 1 a = 9, b = 5, c = 1 a = 1, b = 10, c = 18

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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