Fractions

Table Of Contents

Fraction

• A number to represent parts of numbers
• Numerator
• Denominator

Equivalent Fractions

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

Simplifying Fractions

Turn it into the smallest version of itself $\frac{3}{6}=\frac{1}{2}$

Adding Fractions

• Get a common base. This if the Greatest Common Factor of the denominators
• Convert each fraction to their equilvant form with the common denominator
• Add the numerators

Subtracting Fractions

• Same deal as adding, but this time you subtract the fractions

Multiplying Fractions

a_{1}}{b_{1}}*\frac{a_{2}}{b_{2}} = \frac{a_{1}b_{1}}{b_{1}b_{2}}

Dividing Fractions

• flip the bottom fraction, then multiply

$$\frac{\frac{a_1}{b_1}}{\frac{a_2}{b_2}}=\frac{a_1}{b_1}\ast \frac{b_2}{a_2}=\frac{a_1{b}_2}{b_1{a}_2}$$

Mixed Fractions

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

Fractions → Mixed Fractions

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