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Lesson Example Discussion Quiz: Class Homework

Example

Title: Division Fractions

Grade: 8-a Lesson: S1-L8

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:

Division \$5 24/36 \div 4 15/13\$.

Step 1a

First, convert the given mixed fractions into improper fractions.

⇒ Now multiply the denominator with a whole number and add the answer to the numerator.

⇒\$5 24/36\$ = \$204/36\$.

⇒\$4 15/13\$ = \$67/13\$.

$1a$

Explanation: Now multiply 5 by 36 and add 24. We get 204. Now multiply 3 by 16 and add 24. We get 67.

we get the fractions to \$ 204/36 \div 67/13 \$.

Step 1b

The second fraction is \$67/13\$ it becomes \$13/67\$.

$1b$

Explanation: Reciprocate the second fraction.

Step 1c

Multiply \$204 \times 13\$ we get 2652.

Multiply \$36 \times 67\$ we get 2412.

$1c$

Explanation: Multiply the numerator with the numerator and the denominator with denominator.

Step 1d

Reduce by dividing both the numerator and denominator.

\$\cancel(2652)^(221)/\cancel(2412)^(201)\$ .

we get \$221/201\$.

$1d$

Explanation: Reduce by dividing both the numerator and denominator by using 12.

Step 1e

Divide the fraction \$221/201\$.

$1e$

Explanation: By dividing 221 by 201 we get 1 as the quotient and the remainder as 20.

Step 1f

\$"Mixed fraction"\$ =

\$"Whole number" + "Numerator" /"Denominator"\$

$1f$

Explanation: Therefore, \$1 20/201\$.