Question

1. solve $1\frac{2}{3} \div \frac{2}{3}$
2. put these decimals in order from greatest to least.

8.031 8.3 8.013 8.04

Explanation:

Step1: Convert mixed number to improper fraction

$1\frac{2}{3} = \frac{1\times3 + 2}{3} = \frac{5}{3}$

Step2: Rewrite division as multiplication by reciprocal

$\frac{5}{3} \div \frac{2}{3} = \frac{5}{3} \times \frac{3}{2}$

Step3: Simplify and calculate product

$\frac{5\times3}{3\times2} = \frac{5}{2} = 2.5$

(for ordering decimals):

Step1: Compare tenths place first

8.3 has the largest tenths digit (3), so it is greatest.

Step2: Compare remaining hundredths place

8.04 has hundredths digit 4, 8.031 has 3, 8.013 has 1.

Step3: Order from greatest to least

Rank by digit values from high to low.

Answer:

1. $2\frac{1}{2}$ (or $\frac{5}{2}$ or 2.5)
2. 8.3, 8.04, 8.031, 8.013