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Converting Mixed Numbers to Decimals

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To write a mixed number as a decimal,

1) Convert the fractional part of the mixed number to a decimal.

2) Then, place the whole number part to the left of the decimal point.

The whole number part in the mixed number will be the same as the whole number part in the decimal.
 

For example: Let's write the mixed number 2
1 20
as a decimal.

First, convert the fractional part,
1 20
to a decimal.

To do so, find the equivalent fraction of
1 20
having denominator as a power of 10.
 

 

We can multiply the denominator, 20, by 5 to get 100.

 

1
20
=
1 × 5
20 × 5
=
5
100

 


Now, write
5 100
as a decimal.

 

Observe that there are two zeros in the denominator.

 

So, counting from right to left, place the decimal point in the numerator after two digits.

 

Here, as the numerator has one digit, so we add a zero to the left of the numerator.

 

0.05

 

So,
1
20
=
5
100
0.05

 

Now, place the whole number part, 2, to the left of the decimal point.

 

2.05

 

So, 2
1
20
2.05

 

The mixed number 2
1 20
can be written as the decimal 2.05.