SaiBook.us Fractions

Lesson Example Discussion Quiz: Class Homework

Lesson

Title: Fractions

Grade: 5-a Lesson: S2-L1

Explanation: Hello Students, time to learn definitions. Let us take turns and read definitions and explain the pictures. Try to remember or memorize the definitions. Pay special attention to the pictures and communicate in your own words.

Lesson:

Definition: Fraction

A fraction represents a numerical value, which defines the parts of a whole.
It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator.
The number on the top is called the numerator, and the number on the bottom is called the denominator.

$1a$

Explanation: In this image, \$566/780\$ represents a portion of a whole with 566 parts out of a total of 780 equal parts.

Definition: Whole number

Whole numbers are a set of numbers including all natural numbers and zero.

$2a$

Explanation: In the given image we can see the numbers 0,1,2,3,4,5,6,7,8,9,10

Here, the whole numbers have all natural numbers including zero.

Definition: Like Fraction

Fractions that have the same denominators are known as like fractions.

The two fractions stem from \$p/q\$ and \$r/s\$, and their denominators q and s are equal (i.e., q = s), so they are like fractions.

When adding like fractions, you can add the numerators while keeping the denominator unchanged.

$3a$

Explanation: \$12/30, 14/30, 23/30\$ The denominator is 30 fractions, so the above are like fractions.

Definition: Unlike Fraction Addition

Fractions that have unequal denominators are known as unlike fractions.

The two fractions stem from \$p/q\$ and \$r/s\$, and their denominators q and s are equal (i.e.,q ≠ s), so they are unlike fractions.

Unlike fractions, make the denominators the same first and then add them.

$4a$

Explanation: The numbers \$4/3, 12, 18, 35/40, and 20/30\$ are unlike fractions.

Definition: Mixed Fraction

A mixed fraction is a type of fraction in which there is a whole number part and a fractional part.

A mixed fraction is a combination of the whole number part and a fraction.

$5a$

Explanation: \$13 4/6\$is an example of a mixed fraction.

Here 13 is the whole number, and \$4/3\$is the fraction number.