Examples with solutions for Fractions as Divisors: Basic identification

Exercise #1

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

5:6= 5:6=

Video Solution

Step-by-Step Solution

Note that the numerator is smaller than the denominator:

5 < 6

As a result, we can write it thusly:

\frac{5}{6} < 1

Therefore, the quotient in the division exercise is indeed less than 1.

Answer

Less than 1

Exercise #2

Without calculating, determine whether the quotient in the division exercise is less than 1:

7:11 7:11

Video Solution

Step-by-Step Solution

Note that the numerator is smaller than the denominator:

7 < 11

As a result, we can write it thusly:

\frac{7}{11}<1

Therefore, the quotient in the division exercise is indeed less than 1.

Answer

Less than 1

Exercise #3

Without calculating, determine whether the quotient in the following division is less than 1:

11:8 11:8

Video Solution

Step-by-Step Solution

Note that the numerator is smaller than the denominator:

11 > 8

As a result, it can be written like this:

\frac{11}{8} > 1

Therefore, the quotient in the division problem is not less than 1.

Answer

Not less than 1

Exercise #4

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

2:1 2:1

Video Solution

Step-by-Step Solution

We know that every fraction 1 equals the number itself.

We also know that 2 is greater than 1.

Similarly, if we convert the expression to a fraction:

2/1

We can see that the numerator is greater than the denominator. As long as the numerator is greater than the denominator, the number is greater than 1.

Answer

No

Exercise #5

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

1:2= 1:2=

Video Solution

Step-by-Step Solution

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.

Answer

Yes