SaiBook.us Fractions

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

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 28/14\$ = \$98/14\$.

⇒\$3 24/16\$ = \$72/16\$.

$1a$

Explanation: Now multiply 5 by 14 and add 28 then We get 98. Now multiply 3 by 16 and add 24 then We get 72. We get the fractions \$ 98/14, 72/16 \$.

Step 1b

Multiply \$98 \times 72\$ we get 7056. Multiply \$14 \times 16\$ we get 224

$1b$

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: Reduce by dividing both the numerator and denominator by using 112.

Step 1d

Divide the fraction \$63/2\$.

$1d$

Explanation: By dividing 63 by 2 we get 31 as the quotient and the remainder as 1.

Step 1e

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

$1e$

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