Part of a quantity: the value of the part

Fractions, grade 6 Lesson 7 of 22Learning

Part of a quantity: the value of the part

24 dots in 3 rows

What is $\displaystyle \frac{2}{3}$ of 24?
Here are 24 dots, in 3 equal rows:

●●●●●●●●
●●●●●●●●
●●●●●●●●

$\displaystyle \frac{1}{3}$ of the group is one row – 8 dots. So $\displaystyle \frac{2}{3}$ are two rows – 16 dots.

“Of” as multiplication

“Of” is multiplication: $\displaystyle \frac{2}{3}$ of 24 is $\displaystyle {\frac{2}{3}\times24}={16}$ .

The part, the whole quantity, the value of the part

In “ $\displaystyle \frac{2}{3}$ of 24 are 16” there are three numbers – know which is which: $\displaystyle \frac{2}{3}$ is the part, 24 is the whole quantity, and 16 is the value of the part.

Exercise 1

Find the value of the part.

\displaystyle \frac{3}{4}

of 32

/ – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

/ – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

\displaystyle \frac{2}{5}

of 45

/ – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

Exercise 2

There are 32 students in a class, and $\displaystyle \frac{3}{8}$ of them walk to school.
How many students walk to school?

/ – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power