# Identify lowest common denominators

## Interactive practice questions

Find the lowest common denominator of $\frac{1}{2}$12 and $\frac{1}{7}$17.

To do this, we will look at the multiples of $2$2 and $7$7.

a

Fill in the table with the first ten multiples of $2$2.

$\times$×

$1$1 $2$2 $3$3 $4$4 $5$5 $6$6 $7$7 $8$8 $9$9 $10$10
$2$2 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

Fill in the table with the first ten multiples of $7$7.

$\times$×

$1$1 $2$2 $3$3 $4$4 $5$5 $6$6 $7$7 $8$8 $9$9 $10$10
$7$7 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
c

Hence, what is the lowest common denominator of $\frac{1}{2}$12 and $\frac{1}{7}$17?

Easy
Approx 2 minutes

Find the lowest common denominator of $\frac{1}{2}$12 and $\frac{6}{7}$67.

To do this, we will look at the multiples of $2$2 and $7$7.

Find the lowest common denominator of $\frac{4}{5}$45 and $\frac{11}{12}$1112.

Find the lowest common denominator of $\frac{1}{12}$112 and $\frac{1}{7}$17.

### Outcomes

#### NA4-4

Apply simple linear proportions, including ordering fractions