Common Fractions

All numbers which are quotients of two integers are called rational numbers, and those quotients which are not integers are called fractions. Fractions occupy positions between integers on the number line. In a common fraction (sometimes called a vulgar fraction) the two integers are written one above the other with a line between them, such as <m:math display=&#x2019;block&#x2019;> <m:mrow> <m:mfrac> <m:mn>1</m:mn> <m:mn>2</m:mn> </m:mfrac> <m:mfrac> <m:mrow> <m:mo>&#x2212;</m:mo><m:mn>3</m:mn> </m:mrow> <m:mn>5</m:mn> </m:mfrac> <m:mfrac> <m:mrow> <m:mn>22</m:mn> </m:mrow> <m:mn>7</m:mn> </m:mfrac> </m:mrow> </m:math>]]</EquationSource><EquationSource Format="TEX"><![CDATA[$$\frac{1}{2},\;\frac{{ - 3}}{5},\;\frac{{22}}{7}$$ meaning <m:math display=&#x2019;block&#x2019;> <m:mrow> <m:mn>1</m:mn><m:mo>&#x00F7;</m:mo><m:mn>2</m:mn> <m:mo>&#x2212;</m:mo><m:mn>3</m:mn><m:mo>&#x00F7;</m:mo><m:mn>5</m:mn><m:mn>22</m:mn><m:mo>&#x00F7;</m:mo><m:mn>7</m:mn> </m:mrow> </m:math>]]</EquationSource><EquationSource Format="TEX"><![CDATA[$$1 \div 2,\; - 3 \div 5,\;22 \div 7$$ .