SaiBook.us Fractions

Lesson Example Discussion Quiz: Class Homework

Example

Title: Simplifying Fraction

Grade: 4-a Lesson: S2-L3

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:

Reduce the fraction \$64/96\$.

Step 1a

To reduce the fraction \$64/96\$, we need to find the greatest common divisor (GCD):

Factors for 64 :1, 2, 4, 8, 16, 32, and 64.

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

$1a$

Explanation: In this step, To simplify the fraction \$64/96\$, we need to determine the greatest common divisor (GCD) of the numerator and denominator.

The factors of 64 are 1, 2, 4, 8, 16, 32, and 64.

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

Step 1b

The greatest common factor of 64 and 96 is 32.

Divide both the numerator and the denominator by the GCD. \$64/96\$ = \$64/96 \div 32/32\$.

$1b$

Explanation: In this step, to find the GCD of 64 and 96, which is 32. Then, divide the numerator and denominator by 32.

Therefore, \$64/96\$ = \$64/32 ÷ 96/32\$.

Step 1c

After performing division, the fraction we get \$2/3\$.

So, \$64/96\$ reduces to \$2/3\$.

$1c$

Explanation: After dividing, \$64/96\$ simplifies to \$2/3\$.