Question

If 5 L of juice is shared equally by 3 people, then the amount of juice each person gets is:

• A. $\text{Less than}1\frac{1}{2}\text{L}$
• B. $\text{Greater than}1\frac{1}{2}\text{L}$
• C. $\text{Cannot be determined}$
• D. $\text{Equal to}1\frac{1}{2}\text{L}$

Answer 1

The correct option is B $\text{Greater than}1\frac{1}{2}\text{L}$

$\text{5 L of juice is shared equally by 3 people}$

$\text{Division Statement}=5÷3$

$\text{Fraction form}=\frac{5}{3}$

$=1\frac{2}{3}$

$\text{Comparing}1\frac{2}{3}\text{to}1\frac{1}{2}\text{, we get:}$

$\text{Whole number part:}1\text{and}1\left(equal\right)$

$\text{Fractional part:}\frac{2}{3}\text{and}\frac{1}{2}$

$\text{Converting}\frac{2}{3}\text{and}\frac{1}{2}\text{into like fractions,}\text{we get:}$

$\frac{2}{3}=\frac{2\times 2}{3\times 2}=\frac{4}{6}$

$\frac{1}{2}=\frac{3\times 1}{3\times 2}=\frac{3}{6}$

$\text{Now,}$ $\frac{4}{6}>\frac{3}{6}$

$⟹1\frac{2}{3}>1\frac{1}{2}$

$\therefore \text{The amount of juice each person gets}$$\text{is}greaterthan1\frac{1}{2}L$