There are various types of fractions that need to be known:

There are various types of fractions that need to be known:

A simple fraction is the classic among all fractions and contains only a numerator and a denominator.

**The fraction line**- symbolizes the division operation.**The numerator**– represents the part of the whole (the relevant part we are asked about in the question – the thing that needs to be divided equally among everyone).**The denominator**– represents the whole – the total – the total number of "pieces" there are.

An improper fraction is any number written like a fraction with a numerator and a denominator, but it is actually a whole number or a whole number with a fraction.

A mixed number is a fraction composed of a whole number and a fraction, hence its name – it combines both whole numbers and fractions.

A decimal fraction represents a non-whole number using a decimal point.

The decimal fraction can be without whole numbers at all or with whole number

Question 1

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

\( 1:2= \)

Question 2

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

\( 5:6= \)

Question 3

Match the following description with the corresponding fraction:

10 tickets are distributed equally among 9 couples.

Question 4

\( \frac{3}{4}-\frac{1}{6}= \)

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

$1:2=$

Note that the numerator is smaller than the denominator:

1 < 2

As a result, we can claim that:

\frac{1}{2}<1

Therefore, the fraction in the division problem is indeed less than 1.

Yes

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

$5:6=$

Note that the numerator is smaller than the denominator:

5 < 6

As a result, we can claim that:

\frac{5}{6} < 1

Therefore, the quotient in the division problem is indeed less than 1

Yes

Match the following description with the corresponding fraction:

10 tickets are distributed equally among 9 couples.

We need to understand that every fraction is actually a division exercise,

so when we divide 10 tickets among 9 people,

we are dividing 10 by 9

that is 10:9

The division exercise can also be written as a fraction

and that's the solution!

$\frac{10}{9}$

$\frac{3}{4}-\frac{1}{6}=$

In this question, we need to find a common denominator.

However, we don't have to multiply the denominators by each other,

there is a lower common denominator: 12.

$\frac{3\times3}{3\times4}$

$\frac{1\times2}{6\times2}$

$\frac{9}{12}-\frac{2}{12}=\frac{9-2}{12}=\frac{7}{12}$

$\frac{7}{12}$