SaiBook.us Fractions

Lesson Example Discussion Quiz: Class Homework

Example

Title: Equivalent Fractions

Grade: 5-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:

Write an equivalent fraction to the given fraction \$15/30\$ = \$90/?\$.

Step 1a

Given equivalent fraction \$15/30\$ = \$90/?\$

$1a$

Explanation: In this step, the given fraction is \$15/30\$=\$90/?\$. To find an equivalent fraction of \$15/30\$ with a numerator of 90, multiply both the numerator and denominator by the same number.

Step 1b

To find what number, you can multiply 15 by to get 90.

That number is 6. Number to multiply = \$90/15\$ = 6.

$1b$

Explanation: To convert \$15/30\$ to an equivalent fraction with a numerator of 90, you need to divide 90 by the current denominator (15), i.e.,\$90/15\$ = 6.

Step 1c

Now, multiply both the numerator and denominator of \$15/30\$ by 6: \$15/30\$ × \$6/6\$ = \$90/180\$

So,\$15/30\$ is equivalent to \$90/180\$ when the numerator is 90.

$1c$

Explanation: In this step, we multiply 15 and 6 to get 90, and we multiply 30 and 6 to get 180. So, \$15/30\$ is equivalent to \$90/180\$.