Question

visual fraction problems
draw a model of each fraction
2/3 3/5 5/8
draw a picture of each division problem. then solve.
1/2 ÷ 1/4
1 1/2 ÷ 1/8
2 ÷ 1/5
fractions and mixed numbers arithmetic
write each improper fraction as a mixed number - put in lowest terms
15/9__ 31/6 6/4__
46/10__ 20/12 28/7__
73/10__ 28/16 45/15__
write each mixed number as an improper fraction
4 1/2__ 3 1/7 2 2/3__
5 6/9__ 3 1/4 2 3/8__
1 6/7__ 4 3/5 2 11/24__

Explanation:

Step1: Use the rule of fraction division

$\frac{1}{2}\div\frac{1}{4}=\frac{1}{2}\times\frac{4}{1}$

Step2: Multiply the numerators and denominators

$\frac{1\times4}{2\times1}=\frac{4}{2} = 2$

$1\frac{1}{2}\div\frac{1}{8}$

Step1: Convert the mixed number to an improper fraction

$1\frac{1}{2}=\frac{2\times1 + 1}{2}=\frac{3}{2}$

Step2: Use the rule of fraction division

$\frac{3}{2}\div\frac{1}{8}=\frac{3}{2}\times\frac{8}{1}$

Step3: Multiply the numerators and denominators

$\frac{3\times8}{2\times1}=\frac{24}{2}=12$

$2\div\frac{1}{5}$

Step1: Use the rule of fraction division

$2\div\frac{1}{5}=2\times\frac{5}{1}$

Step2: Multiply

$2\times5 = 10$

3. Converting improper fractions to mixed numbers:

$\frac{15}{9}$

Step1: Divide the numerator by the denominator

$15\div9 = 1$ remainder $6$

Step2: Write as a mixed number

$\frac{15}{9}=1\frac{6}{9}=1\frac{2}{3}$

$\frac{31}{6}$

Answer:

1. Drawing fraction models:

• For $\frac{2}{3}$: Divide a rectangle (or any shape) into 3 equal - sized parts and shade 2 of them.
• For $\frac{3}{5}$: Divide a rectangle into 5 equal - sized parts and shade 3 of them.
• For $\frac{5}{8}$: Divide a rectangle into 8 equal - sized parts and shade 5 of them.

2. Solving division problems:

$\frac{1}{2}\div\frac{1}{4}$