SaiBook.us Fractions

Lesson Example Discussion Quiz: Class Homework

Example

Title: Simplifying Fraction

Grade: 4-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:

Simplified the fraction into its lowest term: \$96/196\$

Step 1a

To reduce the fraction \$96/196\$, we need to find the greatest common divisor (GCD):

Factors for 96 :1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.

Factors of 196:1, 2, 4, 7, 14, 28, 49, 98, and 196.

$1a$

Explanation: In this step, To simplify the fraction \$96/196\$, we need to determine the greatest common divisor (GCD) of the numerator and denominator.

The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.

The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196.

Step 1b

The greatest common factor of 96 and 196 is 4.

Divide both the numerator and the denominator by the GCD.

\$96/196\$ = \$96/196 \div 4/4\$

$1b$

Explanation: In this step, to find the GCD of 96 and 196, which is 4. Then, divide the numerator and denominator by 4.

Therefore, \$96/196\$ = stem[96/4 ÷ 196/4].

Step 1c

After performing division, the fraction we get \$24/49\$.

So, the fraction \$96/196\$ simplifies to \$24/49\$ in its lowest terms..

$1c$

Explanation: After dividing, \$96/196\$ simplifies to \$24/49\$.