Question

Identify the following fractions as either proper or improper.12. 6⁄ 813. 10⁄ 9Convert the following mixed numbers to improper fractions.14. 2 3⁄ 415. 4 5⁄ 7Convert the following improper fractions to mixed numbers.16. 12⁄ 817. 19⁄ 6

Answer 1

Step 1

A proper fraction is a fraction in which the numerator is less or of a lower degree than the denominator.

An improper fraction is a fraction whose numerator is larger than, or higher degree than the denominator.

Given;

$\begin{gathered} 1)\frac{6}{8} \\ 2)\frac{10}{9} \end{gathered}$$\begin{gathered} In\text{ }\frac{6}{8}\text{ the numerator is less than the denomitor} \\ Hence,\text{ }\frac{6}{8}\text{ is a proper fraction} \end{gathered}$$\begin{gathered} In\text{ }\frac{10}{9}\text{ the numerator is bigger than the denominator} \\ Hence,\text{ }\frac{10}{9}\text{ is an improper fraction} \end{gathered}$

Step 2

Convert

$\begin{gathered} 1)2\frac{3}{4} \\ 2)4\frac{5}{7} \\ To\text{ improper fraction} \end{gathered}$$2\frac{3}{4}=\frac{4(2)+3}{4}=\frac{11}{4}$$4\frac{5}{7}=\frac{7(4)+5}{7}=\frac{33}{7}$

Step 3

Convert

$\begin{gathered} 1)\frac{12}{8} \\ 2)\frac{19}{6} \\ To\text{ mixed numbers} \end{gathered}$$\begin{gathered} 1)\frac{12}{8}=1\frac{4}{8}\text{ or }1\frac{1}{2} \\ 2)\frac{19}{6}=3\frac{1}{6} \end{gathered}$