## Want to practice?

In the fraction 3/11 , the number 3 is

• Numerator
• Denominator
• Decimal
• Fraction

In the fraction 3/11 , the number 3 is

• Numerator
• Denominator
• Decimal
• Fraction

What is the equivalent fraction to 3/11?

• 9/22
• 6/15
• 5/54
• 12/44

What is the equivalent fraction to 3/11?

• 6/22
• 9/55
• 12/22
• 33/9

From the division above we can conclude that:

.______

## Solution

1. Observe the long division to find the value of the divisor.
2. It can be seen that the result of the first step is 22 which is 2 times the divisor. From this, it can be deduced that the divisor is 11.
3. In the second step, the dividend value is 80. 11 divides 80 7 times to give 77. Hence the blank in the quotient should be 7.
4. Finally, the last blank is the remainder, which will be the result of 80-77 and is equal to 3.

Hence the completed division would be:

Note that the actual division starts from the decimal point, hence the dividend should be only 3 ( leaving out the 0).

Let us now write the fraction from the long division and its decimal form.

In a long division, the dividend is the numerator and the divisor is the denominator.
The fraction can be written as .

The decimal form of the fraction is the quotient of the division, 0.27….. .

The decimal part is non-terminating because we get the same remainder in the 3rd step as in the first step. This shows that digits 2 and 7 are repeating digits.

The repeating digits are indicated by placing a bar over 2 and 7.

## Remember

Here are some common terms you should be familiar with.

• In the fraction , the number 3 is the dividend (our numerator)
• The number 11 is our divisor (our denominator)

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