Question

There are $3$ blue marbles, $6$ green marbles, and $9$ red marbles. If the total number of marbles are equally divided among five groups, then what is the share of each group?

• A. $5\frac{2}{5}$
• B. $1\frac{5}{11}$
• C. $2\frac{3}{5}$
• D. $3\frac{3}{5}$

Answer 1

The correct option is D $3\frac{3}{5}$

Detailed step-by-step solution:
Total number of marbles $=\text{blue marbles + green marbles + red marble}$
Total number of marbles $=3+6+9=18$
Number of groups $=5$
Share of each group$=\text{Total number of marbles}÷\text{Number of groups}$

Share of each group $=18÷5$
Therefore, the division expression which represents the share of each group is $18÷5$

The share of each group as a fraction $=\frac{\text{Total number of marbles}}{\text{Number of groups}}$

The share of each group as a fraction = $\frac{18}{5}$

Dividend = $18$
Divisor =$5$


Quotient =$3$
Remainder = $3$
Expressing the fraction as a mixed number:
$\frac{\text{Numerator (Dividend)}}{\text{Denominator (Divisor)}}=\text{Quotient}\frac{\text{Remainder}}{\text{Divisor}}$

$\frac{18}{5}=3\frac{3}{5}$

Hence, option D is correct.