# 6th Grade Math Chapter 3

## Math 6 Chapter 3 Lesson 5: Reducing the denominator of many fractions

Math 6 Chapter 3 Lesson 5: Reducing the denominator of many fractions 1. Summary of theory 1.1. Denominator of two fractions To convert two fractions, we do the following: Step 1: Find a common multiple of 2 denominators to use as a common denominator Step 2: Find the sub-factors of each denominator (divide the common …

## Math 6 Chapter 3 Lesson 6: Compare fractions

Math 6 Chapter 3 Lesson 6: Compare fractions 1. Summary of theory 1.1. Compare two fractions with the same denominator Of any two fractions with the same positive denominator, the fraction with the larger numerator is larger. Eg: Compare the following pairs of fractions a) (dfrac{-3}{4} ;dfrac{-7}{4}) b) (dfrac{5}{-8} ;dfrac{-7}{8}) Solution a) Because (-3>-7Rightarrow dfrac{-3}{4} …

## Math 6 Chapter 3 Lesson 7: Addition of Fractions

Math 6 Chapter 3 Lesson 7: Addition of Fractions 1. Summary of theory Add two fractions with the same denominator: To add two fractions with the same denominator, add the numerators and keep the denominator the same. (dfrac{a}{m} + dfrac{b}{m} = dfrac{{a + b}}{m}) Eg: (dfrac{1}{2} + dfrac{{ – 5}}{2} = dfrac{{1 + ( – …

## Math 6 Chapter 3 Lesson 8: Basic properties of addition of fractions

Math 6 Chapter 3 Lesson 8: Basic properties of addition of fractions 1. Summary of theory Similar to integer addition, fractional addition has the following basic properties: a) Commutative property: (dfrac{a}{b} + dfrac{c}{d} = dfrac{c}{d} + dfrac{a}{b}) b) Combined properties: (left( {dfrac{a}{b} + dfrac{c}{d}} right) + dfrac{p}{q} = dfrac{a}{b} + left( { dfrac{c}{d} + dfrac{p}{q}} …

## Math 6 Chapter 3 Lesson 4: Reduce fractions

Math 6 Chapter 3 Lesson 4: Reduce fractions 1. Summary of theory 1.1. How to shorten fractions Rule: To reduce a fraction, we divide both the numerator and denominator of the fraction by a common divisor (other than 1 and (-1)) of them. Eg: Simplify fractions (dfrac{14}{6}) We have UC(14, 6)=2 so we have: (dfrac{14}{6}=dfrac{14:2}{6:2}=dfrac{7}{3}) …