Math 6 Notes PDF

**Complex Fractions - A fraction whose numerator and denominator or both numerator and denominator contain fractions.** STEPS IN SIMPLIFYING COMPLEX FRACTIONS STEPS IN ADDING OR SUBTRACTING UNLIKE DENOMINATOR **Step 1: First [ solve] it separately.** **Step 2: Find the [Least Common Denominator...

**Complex Fractions - A fraction whose numerator and denominator or both numerator and denominator contain fractions.** STEPS IN SIMPLIFYING COMPLEX FRACTIONS STEPS IN ADDING OR SUBTRACTING UNLIKE DENOMINATOR **Step 1: First [ solve] it separately.** **Step 2: Find the [Least Common Denominator or LCD of the given] denominator of that fraction.** **Step 3: Once you have the LCD, think [ of a number that if you multiply by the given fraction the answer will be equal to your LCD.]** **Step 4: [ADD or SUBTRACT] once they have the same denominator.** **STEP 5: Proceed to [make a division sentence.]** **Step 6: [Keep, Change, Flip]** **Step 7: [Reduce your answer to the lowest term] if necessary.** STEPS IN ADDING OR SUBTRACTING THE SAME DENOMINATORS **Step 1: First [solve] it separately.** **Step 2: Copy the [Denominator of the given] fraction , then [ADD or Subtract] it directly.** **STEP 3: Proceed to [make a division sentence.]** **Step 4: [Keep, Change, Flip]** **Step 5: [Reduce you answer to lowest term] if necessary.** [\$\\frac{\\left( \\frac{\\mathbf{1}\^{}}{\\mathbf{2}} \\right)\^{\\mathbf{2}}}{\\mathbf{4}}\\mathbf{\\ \\ = \\ }\\frac{\\frac{\\mathbf{1}}{\\mathbf{2}}\\mathbf{\\ \\times}\\frac{\\mathbf{1}}{\\mathbf{2}}}{\\mathbf{4}}\$]{.math.inline} **=** [\$\\frac{\\frac{\\mathbf{1}}{\\mathbf{4}}}{\\mathbf{4}}\\mathbf{\\ =}\\frac{\\mathbf{1}}{\\mathbf{4}}\\mathbf{\\ \\div}\\frac{\\mathbf{4}}{\\mathbf{1}}\\mathbf{\\ =}\\frac{\\mathbf{1}}{\\mathbf{4}}\\mathbf{\\ \\times}\\frac{\\mathbf{1}}{\\mathbf{4}}\\mathbf{\\ =}\\frac{\\mathbf{1}}{\\mathbf{16}}\$]{.math.inline} A **decimal number** can be defined as a number whose [whole number part and the fractional part is separated by a decimal point.] The dot in a decimal number is called a decimal point. [     ⇒]{.math.inline}  Note: Always remember when reading the decimal part read it as a number number and attach the place value of the last digit. For example: **Forty**  Seven and eight thousand three hundred forty - six ten thousandths. FOR EXAMPLE: **23. 046** - Round to the nearest thousandths ANSWER: 23.046 **123. 4582** - Round to the nearest ten thousandths ANSWER: 123. 4587 **100. 57896** - Round to the nearest hundred thousandths ANSWER: 100.57896 **236. 32405673**- Round to the nearest hundred millionths ANSWER: 236.32405679 **532. 2567348936** - Round to the nearest ten billionths ANSWER: 532. 2567348936 **[CONVERTING FRACTIONS TO DECIMALS ]** - The fraction bar separating the "part"and the "whole" represents division. This means that all fractions can be converted into decimals by dividing the [numerator] by the [denominator.]  **[CONVERTING DECIMALS TO FRACTIONS]** - To convert decimals to fractions, we take note of the place value of the digits. **Steps for Conversion:** - - - - **Example:** Convert 0.5 into a fraction. **Solution:** Let\'s apply the steps that we learned. Step 1: Identify the place value of the last digit. 0.5 \