Identify the following fractions as either proper or improper.

12. 6⁄ 8

13. 10⁄ 9

Convert the following mixed numbers to improper fractions.

14. 2 3⁄ 4

15. 4 5⁄ 7

Convert the following improper fractions to mixed numbers.

16. 12⁄ 8

17. 19⁄ 6

Respuesta :

12 Proper
13 Improper

An improper fraction would be a greater number than the denominator for the numerator. Like 10/8, 8/4, 11/2. Proper, is things like 8/9, 3/4, 2/6.

Answer:

12. Proper fraction

13. Improper fraction

14. \frac{11}{4}[/tex]

15. \frac{33}7}[/tex]

16, [tex]1\frac{4}{8}[/tex]

17, [tex]3\frac{1}{6}[/tex]

Step-by-step explanation:

12. [tex]\frac{6}{8}[/tex]

Definitions:

Proper fraction: If the numerator is less than the denominator, then it is called proper fraction.

Improper fraction: If the numerator is greater than the denominator, then it is called improper fraction.

According to the definition the numerator 6 is less than the denominator 8, so

[tex]\frac{6}{8}[/tex] is proper fraction.

13. [tex]\frac{10}{9}[/tex]

Here the numerator 10 is greater than 9 so it is improper fraction.

14. [tex]2 \frac{3}{4}[/tex]

To convert mixed numbers to improper fractions.

Step 1: Multiply the whole number (2) and the denominator (4).

2 * 4 = 8

Step 2: Add (8) with the numerator.

Step 3: Keep the denominator as it is.

[tex]2 \frac{3}{4}[/tex] = [tex]\frac{(2*4) + 3}{4} = \frac{8 + 3}{4} = \frac{11}{4}[/tex]

15. Follow the same procedure as stated in the problem 14.

[tex]4\frac{5}{7} = \frac{(4*7) + 5}{7} = \frac{28 +5}{7} = \frac{33}7}[/tex]

16. [tex]\frac{12}{8}[/tex]

Here we need to convert improper fraction to mixed number.

Mixed number is a combination of a whole number and improper fraction.

We use division to find the mixed number.

The quotient will be the whole number, the reminder will be the numerator and divisor is the denominator of the improper fraction.

When we divided 12 by 8, we  get 1 as a whole number, the reminder is 4 and the divisor is 8.

So

[tex]\frac{12}{8} = 1\frac{4}{8}[/tex]

17. [tex]\frac{19}{6}[/tex]

When we divided 19 by 6, we get 3 as whole number, 1 is the reminder and 6 is the divisor.

[tex]\frac{19}{6} = 3\frac{1}{6}[/tex]