Question

21 the list shows the lengths in inches of four lizards. order the lengths from least to greatest. $3\frac{5}{6}$, $3\frac{1}{2}$, $3\frac{4}{9}$, $3\frac{2}{3}$ 22 a bunch of grapes weighs 0.85 pound. what fraction is equivalent to the weight of the grapes in pounds? dont forget to simplify 23 consuelo played a game with integer cards. the scores on the first four cards that she picked are shown in the table. what was consuelo’s total score? | card | 1 | 2 | 3 | 4 | | score | -6 | +2 | +5 | -4 |

Explanation:

Step1: Order mixed numbers (Q21)

First, simplify the fractions:
$3\frac{5}{6} = 3 + \frac{5}{6} \approx 3.833$, $3\frac{1}{2} = 3 + 0.5 = 3.5$, $3\frac{4}{9} \approx 3 + 0.444 = 3.444$, $3\frac{2}{3} \approx 3 + 0.667 = 3.667$.
Order from least to greatest: $3\frac{4}{9} < 3\frac{1}{2} < 3\frac{2}{3} < 3\frac{5}{6}$

Step2: Convert decimal to fraction (Q22)

Write 0.85 as a fraction:
$0.85 = \frac{85}{100}$
Simplify by dividing numerator and denominator by 5:
$\frac{85\div5}{100\div5} = \frac{17}{20}$

Step3: Calculate total score (Q23)

Sum all the scores:
$-6 + 2 + 5 + (-4)$
Calculate step-by-step:
$-6 + 2 = -4$; $-4 + 5 = 1$; $1 + (-4) = -3$

Answer:

1. $3\frac{4}{9}, 3\frac{1}{2}, 3\frac{2}{3}, 3\frac{5}{6}$
2. $\frac{17}{20}$
3. $-3$