Positive Fractions Worksheet PDF

Name - \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ Date - \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ +-----------------------------------+-----------------------------------+ | **TOPIC** | | | |...

Name - \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ Date - \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ +-----------------------------------+-----------------------------------+ | **TOPIC** | | | | | | **Multiplication and Division | | | of** | | | | | | **Positive Fractions and Mixed | | | numbers.** | | | | | | **⬇ ⬇** | | +===================================+===================================+ | [\$\\frac{1}{2}\$]{.math.inline} | [\$3\\frac{1}{2}\$]{.math | | |.inline} | +-----------------------------------+-----------------------------------+ **( DON'T DRAW ON THE ASSIGNMENT SHEET )** **If you need help with multiplication tables then you can use the following table:** +-----------------------------------------------------------------------+ | **Que : What is Fraction?** | | | | Ans : A fraction shows a part of something. It is written as two | | numbers: the top number tells how many parts we have, and the bottom | | number tells how many equal parts make a whole. | +-----------------------------------------------------------------------+ +-----------------------------------------------------------------------+ | **Examples** | | | |  | +-----------------------------------------------------------------------+ **Worksheet : 1 Date: \_\_\_\_\_\_\_\_\_\_\_\_\_\_**  **Worksheet : 2 Date: \_\_\_\_\_\_\_\_\_\_\_\_\_\_** +-----------------------+-----------------------+-----------------------+ | **Types of | | | | Fractions** | | | +=======================+=======================+=======================+ | **[Proper | **[Improper | **[Mixed | | Fraction] | Fraction] | Fraction] | | ** | ** | ** | | | | | | **👇👇** | **👇👇** | **👇👇** | | | | | | Proper fractions are | Improper fractions | A mixed fraction is a | | the fractions in | are the fractions in | mixture of a whole | | which the numerator | which the denominator | number and a proper | | is less than its | is less than its | fraction. | | denominator. | numerator. | | | | | **[For | | **[For | **[For | Example]* | | Example]* | Example]* | * | | * | * | | | | | [\$1\\frac{5}{7}\\ \\ | | [\$\\frac{5}{7},\\fra | [\$\\frac{9}{5},\\fra | ,2\\frac{8}{12}\\ ,\\ | | c{8}{12},\\frac{1}{3} | c{3}{2},\\frac{8}{7}\ | 5\\frac{1}{3}\$]{.mat | | \$]{.math | $]{.math | h | |.inline} |.inline} |.inline} | +-----------------------+-----------------------+-----------------------+  **Worksheet : 3 Date: \_\_\_\_\_\_\_\_\_\_\_\_\_\_** **Worksheet : 4 Date: \_\_\_\_\_\_\_\_\_\_\_\_\_\_**  +-----------------------------------+-----------------------------------+ | **How to Multiply Fractions? 🤔** | | +===================================+===================================+ | **Let's learn it by example:** | | | | | | **Multiply** | | | [\$\\frac{1}{3}🇽\\frac{3}{5}\$]{. | | | math | | |.inline} | | +-----------------------------------+-----------------------------------+ | **Step 1: Multiply the | [\$\\frac{1\\ 🇽\\ 3}{3\\ 🇽\\ 5} = | | numerators.** | \\frac{3}{15}\$]{.math.inline} | | | | | **Multiply the denominators.** | | +-----------------------------------+-----------------------------------+ | **Step 2: Reduce the resultant | | | fraction\ | | | to its lowest terms, if you | | | can.** | | +-----------------------------------+-----------------------------------+ +-----------------------------------+-----------------------------------+ | **Question 1.** | **Question 2.** | | [\$\\frac{5}{6}🇽\\frac{2}{3}\$]{. | [\$\\frac{3}{5}🇽\\frac{1}{2}\$]{. | | math | math | |.inline} |.inline} | | | | | **Answer:** [\$\\frac{5\\ 🇽\\ | **Answer:** [\$\\frac{3\\ 🇽\\ | | 2}{6\\ 🇽\\ 3} = | 1}{5\\ 🇽\\ 2} = | | \\frac{10}{18}\$]{.math.inline} | \\frac{3}{10}\$]{.math.inline} | | | | |  | WE can not reduce the fraction to | | | lower terms as there is no common | | | factor in denominator and | | | numerator. So the answer will be | | | [\$\\frac{3}{10}\$]{.math | | |.inline}**.** | +-----------------------------------+-----------------------------------+ **Worksheet : 5 Date: \_\_\_\_\_\_\_\_\_\_\_\_\_\_** **Worksheet : 6 Date: \_\_\_\_\_\_\_\_\_\_\_\_\_\_**  **Worksheet : 7 Date: \_\_\_\_\_\_\_\_\_\_\_\_\_\_** +-----------------------------------------------------------------------+ | **How to Divide Fractions? 🤔** | +=======================================================================+ | **When we divide one fraction by another fraction, it's like | | multiplying the first fraction by the second fraction's "flip."** | | | | **The "flip" means we switch the top number (numerator) and the | | bottom number (denominator) of the second fraction.** | | | | **Let's look at a picture to understand how to divide fractions | | better!** | | | |  | +-----------------------------------------------------------------------+ +-----------------------------------+-----------------------------------+ | **Question 1.** [\$\\frac{5}{6} | **Question 2.** [\$\\frac{3}{5} | | \\div \\frac{2}{3}\$]{.math | \\div \\frac{1}{2}\$]{.math | |.inline} |.inline} | | | | | **Answer:** [\$\\frac{5}{6} \\div | **Answer:** [\$\\frac{3}{5} \\div | | \\frac{2}{3} =\$]{.math.inline} | \\frac{1}{2} =\$]{.math.inline} | | [\$\\frac{5}{6}🇽\\frac{3}{2}\\ | [\$\\frac{3}{5}🇽\\frac{2}{1}\\ | | \$]{.math.inline} | \$]{.math.inline} | | | | | [\$\\frac{5\\ 🇽\\ 3}{6\\ 🇽\\ 2} = | [\$\\frac{3\\ 🇽\\ 2}{5\\ 🇽\\ 1} = | | \\frac{15}{12} = | \\frac{6}{5}\$]{.math.inline} | | \\frac{5}{4}\$]{.math.inline} | | +-----------------------------------+-----------------------------------+ **Worksheet : 8 Date: \_\_\_\_\_\_\_\_\_\_\_\_\_\_** **Worksheet : 9 Date: \_\_\_\_\_\_\_\_\_\_\_\_\_\_**  **Mixed Numbers Or Mixed Fractions** **How to convert Mixed Fractions to Improper Fraction? 🤔** ------------------------------------------------------------ +-----------------------------------------------------------------------+ | **Example: Convert the mixed number** [\$3\\frac{1}{2}\$]{.math | |.inline} **to an improper fraction.** | | | | **[Step 1:]** Let us multiply the denominator with the | | whole number part. Here, we will multiply 3 by 2, that is, 3 × 2 = 6. | | | | **[Step 2:]** Now, we will add this product to the | | numerator. This will be 6 + 1 = 7. | | | | **[Step 3:]** So, 7 will be the new numerator while the | | denominator (2) will remain the same. This means [\$3\\frac{1}{2} = | | \\frac{7}{2}\$]{.math.inline}**.** | +-----------------------------------------------------------------------+ **Worksheet : 10 Date: \_\_\_\_\_\_\_\_\_\_\_\_\_\_**  +-----------------------------------------------------------------------+ | **How to Multiply Two Mixed Numbers ? 🤔** | +=======================================================================+ | **[Example]** | | | |  | +-----------------------------------------------------------------------+ **Worksheet : 11 Date: \_\_\_\_\_\_\_\_\_\_\_\_\_\_** **⬇ Multiplying mixed numbers ⬇**  +-----------------------------------------------------------------------+ | **Dividing a Mixed Number by Another Mixed Number ? 🤔** | +=======================================================================+ | **First, convert both mixed numbers to improper fractions. Then, take | | the reciprocal of the second fraction and multiply it with the first | | fraction. Finally, simplify the answer you get and convert it into a | | mixed number if required.** | | | | **[Example]** | | | |  | | | |  | +-----------------------------------------------------------------------+ **Worksheet : 12 Date: \_\_\_\_\_\_\_\_\_\_\_\_\_\_** **⬇ Dividing mixed numbers ⬇**