Question

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

Answer 1

Answer:

(A) a=1,b=5,c=9

Step-by-step explanation:

We want to simplify $3\frac{1}{2} \div 2\frac{1}{4}$ for values of a, b and c which satisfies: $a\dfrac{b}{c}$

$3\dfrac{1}{2} \div 2\dfrac{1}{4}\\\text{Changing each fraction to improper fraction}\\=\dfrac{7}{2}\div \dfrac{9}{4}\\\text{Next, we change the division sign to multiplication by taking reciprocal of the second fraction}\\=\dfrac{7}{2}X \frac{4}{9}\\=\dfrac{7X4}{2X9}\\=\dfrac{28}{18}$Converting our result to mixed fraction

$\dfrac{28}{18}=1\dfrac{10}{18}=1\dfrac{5}{9}\\a=1,b=5,c=9$

Answer 2

Answer:

The correct values are $a=1$, $b=5$ and $c=9$.

Step-by-step explanation:

Given information:

The mixed fraction are

$3\frac{1}{2}$  and $2\frac{1}{4}$

Now , Converting them into simple form

As: $7/2$ and $9/4$

Now , dividing the above fraction and cross multiplying

We get,

$=\frac{7}{2} *\frac{4}{9}$

$=\frac{28}{18}$

$=\frac{14}{9}$

Now converting it into mixed fraction as  $1\frac{5}{9}$.

Hence, the correct values are $a=1$, $b=5$ and $c=9$.

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