Lesson Example Discussion Quiz: Class Homework |
Example |
Title: Addition Fractions |
Grade: 8-a Lesson: S1-L5 |
Explanation: Hello Students, time to learn examples. Let us take turns and read each example. Explain each step. Pay special attention to steps and pictures and communicate in your own words. |
Examples:
Add \$3 8/10 + 4 15/20\$.
Step 1a
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First, convert the given mixed fractions into improper fractions. \$3 8/10\$ = \$38/10\$ \$4 15/20\$ = \$95/20\$ |
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Explanation: Convert the given mixed fractions to improper fractions. Multiply 3 by 10 and then add 8. The result is 38. Multiply 4 by 20 and then add 15. The result is 95. |
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Step 1b
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We add fractions with different denominators by finding the lowest common multiple of the denominators. In this case, it’s 20 (the denominators are 10 and 20). |
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Explanation: Denominators are different. So, take the Least Common Multiple (LCM). 20 is a common multiple of 10 and 20. |
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Step 1c
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In this step, to make the denominators equal, we must multiply \$2/2\$ by \$38/10\$ and \$1/1\$ by \$95/20\$. This results in \$76/20\$ and \$95/20\$, respectively. |
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Explanation: To find the LCM as the new denominator, multiply both the numerator and denominator of each fraction by a number. \$95/20\$. |
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Step 1d
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Take the numerators and add. ⇒\$76/20\$ + \$95/20\$ = \$171/20\$ |
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Explanation: To find the sum of the fractions, add their numerators and keep the denominator as 20. The result is \$171/20\$. |
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