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Lesson Example Discussion Quiz: Class Homework

Example

Title: Multiplication Fractions

Grade: 8-a Lesson: S1-L7

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:

Multiplication \$5 28/14 \times 3 24/16\$.

Step 1a

Firstly, convert the given mixed fractions into improper fractions i.e., multiply the denominator with the

whole number and then add the resultant to the numerator.

⇒\$5 28/14\$ = \$98/14\$.

⇒\$3 24/16\$ = \$72/16\$.

$1a$

Explanation: Converting \$5 28/14\$ into an improper fraction - Multiply 14 with 5 and then add the resultant to 28, we get \$98/14\$. Converting \$3 24/16\$ into an improper fraction - Multiply 16 with 3 and then add the resultant to 24, we get \$72/16\$.

Step 1b

Multiply the two improper fractions - \$98/14 times 72/16\$

After multiplying the two numerators and denominators, we get 7056 and 224 respectively.

$1b$

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

Step 1c

Reduce by dividing both the numerator and denominator \$\cancel(7056)^(63)/\cancel(224)^(2)\$ we get \$63/2\$.

$1c$

Explanation: On cancellation of numerator and denominator values with 112, we get \$63/2\$.

Step 1d

Divide the resultant fraction \$63/2\$.

$1d$

Explanation: On the division of \$63/2\$, we get quotient as 31 and the remainder as 1.

Step 1e

\$"Mixed fraction"\$ = \$"Whole number" + "Numerator" /"Denominator"\$

$1e$

Explanation: Therefore, the mixed fraction \$31 1/2\$.