SaiBook.us Fractions

Lesson Example Discussion Quiz: Class Homework

Example

Title: Comparing Non-Unit Fractions

Grade: 4-a Lesson: S2-L6

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:

Determine whether \$3/5\$ is greater than, less than, or equal to \$4/7\$?

Step 1a

Compare these fractions directly to find a common denominator.

To make the two fractions comparable, find a common denominator. In this case, the least common multiple (LCM) of 5 and 7 is 35.

$1a$

Explanation: In order to compare two fractions, it is important to have a common denominator. In this particular case, the least common multiple (LCM) of 5 and 7 is 35, which will allow us to make the two fractions comparable.

Step 1b

\$3/5\$, multiply both the numerator and denominator by 7, i.e., \$3/5\$ = \$(3 \times 7)/(5 \times 7)\$ = \$21/35\$ \$4/7\$, multiply both the numerator and denominator by 5, i.e., \$4/7\$ = \$(4 \times 5)/(7 \times 5)\$ = \$20/35\$

$1b$

Explanation: In this step, we will convert \$3/5\$ and \$4/7\$ into equivalent fractions with the same denominator. To do this, we need to multiply both the numerator and denominator of \$3/5\$ by 7. This gives us \$21/35\$. Similarly, we need to multiply both the numerator and denominator of \$4/7\$ by 5, which gives us \$20/35\$.

Step 1c

Compare the numerators: Numerator of \$3/5\$ = 21 Numerator of \$4/7\$= 20

So, 21 is greater than 20, and \$3/5\$ is greater than \$4/7\$.

$1c$

Explanation: After comparing the numerators, we find that \$3/5\$ is greater than \$4/7\$ because its numerator is 21, while the numerator of \$4/7\$ is 20.