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1/16 as a decimal is 0.0625
In the fraction 1/16 , the number 1 is
In the fraction 1/16 , the number 16 is
What is the equivalent fraction to 1/16?
Use the concept of equivalent fractions to write the fraction 1/16 as a decimal.
Fractions can be converted to their decimal form either by the long division method or by shifting the decimal directly in some cases.
Fractions that have the numbers 10,100,1000…. etc. as their denominator can be directly changed to decimal by moving the decimal point of the numerator to the left as many places as there are zeros in the denominator.
The fraction $$\frac1{16}$$ can be converted to an equivalent fraction with a suitable denominator.
Find the suitable denominator that can be divided by 16 exactly.
We can see that 16 multiplied by 625 gives 10000.
As the denominator is multiplied by 625, the numerator should also be multiplied by 625.
We will get,
$$\frac{\mathbf1}{\mathbf{16}}\boldsymbol=\frac{\mathbf1\boldsymbol\times\mathbf{625}}{\mathbf{16}\boldsymbol\times\mathbf{625}}\boldsymbol=\frac{\mathbf{625}}{\mathbf{10000}}\boldsymbol=\mathbf0\boldsymbol.\mathbf{0625}$$
There are 4 zeros in the denominator, hence shift the decimal point by four digits to the left.
The long division method is also given below for reference.
Here are some common terms you should be familiar with. In the fraction $$\frac1{16}$$, the number 1 is the dividend (our numerator) The number 16 is our divisor (our denominator).
Here are some common terms you should be familiar with.
Also, in our blog, you can know about reading the decimals.
Such a topic may be interesting for you: What is 7/12 as a decimal fraction?
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