SaiBook.us Fractions

Lesson Example Discussion Quiz: Class Homework

Example

Title: Mixed Fraction Addition

Grade: 5-a Lesson: S2-L4

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

First, convert the given mixed fractions into improper fractions: \$3 8/10 = (30 + 8)/10 = 38/10\$ \$4 15/20 = (80 + 15)/20 = 95/20\$.

$1a$

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.

Step 1b

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).

$1b$

Explanation: Denominators are different. So, take the Least Common Multiple (LCM). 20 is a common multiple of 10 and 20.

Step 1c

In this step, to make the denominators equal, multiply \$2/2 \times 30/10\$ and \$1/1 \times 95/20\$. This results in \$76/20\$ and stem;[95/20].

$1c$

Explanation: In this step, to make the denominators equal, multiply \$2/2\$ by \$30/10\$ and \$1/1\$ by \$95/20\$. This results in \$76/20\$ and \$95/20\$.

Step 1d

Add the numerators: \$76/20 + 95/20\$ = \$171/20\$.

$1d$

Explanation: To find the sum of the fractions, add their numerators and keep the denominator as 20.The result is

\$171/20\$