Respuesta :
• Equivalent Fractions
Two or more fractions are called equivalent fractions if they keep the same proportion. For example:
[tex]\begin{gathered} \frac{1}{2}=\frac{2}{4}=\frac{3}{6}=\frac{4}{8}=\frac{5}{10} \\ \frac{3}{9}=\frac{6}{18}=\frac{9}{27}=\frac{12}{36} \end{gathered}[/tex]Notice that we multiplied the numerator and the denominator by the same number to produce those equivalent fractions. We did by two on the first line, and by 3 on the 2nd line.
These fractions are equivalent since we can simplify all of them and reduce them to 1/2. Dividing both numerator and denominator by the same number.
• Mixed Fractions and Improper fractions
Whenever we divide the numerator by the denominator and it is greater than or equal to 1. We can use Mixed Numbers.
For example:
[tex]\begin{gathered} \frac{9}{8}\longrightarrow\text{ 9}\colon8=1.125 \\ \frac{9}{8}=\text{ 1 +}\frac{1}{8}=1\text{ }\frac{1}{8} \\ \frac{12}{10}=1.2\text{ = 1 + }\frac{1}{5}\text{ =1}\frac{1}{5} \end{gathered}[/tex]We use mixed numbers for recipes (in daily life), and to better understand fractions.
When we need to operate them we must turn those Mixed Numbers into improper fractions (fractions whose denominator is lesser than its denominator (bottom number).
