SaiBook.us Fractions

Lesson Example Discussion Quiz: Class Homework

Example

Title: Simplifying Fractions

Grade: 5-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:

Step 1a

To reduce the fraction \$78/126\$, we need to find the greatest common divisor (GCD):

Factors for 78 :1, 2, 3, 6, 13, 26, 39, 78.

Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126.

$1a$

Explanation: In this step,To simplify the fraction 78/126, we need to determine the greatest common divisor (GCD) of the numerator and denominator. The factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78. The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126.

Step 1b

The greatest common factor of 78 and 126 is 6.

Divide both the numerator and the denominator by the GCD.

\$78/126\$ = \$78/126 \div 6/6\$.

$1b$

Explanation: In this step, to find the GCD of 78 and 126, which is 6. Then, divide the numerator and denominator by 6.
Therefore, \$78/126\$ = \$78/126 ÷ 6/6\$.

Step 1c

After performing division, the fraction we get \$13/21\$.

So, \$78/126\$ reduces to \$13/21\$.

$1c$

Explanation: After dividing, \$78/126\$ simplifies to \$13/21\$.