3/16 as a decimal number
Understand the Problem
The question is asking for the decimal representation of the fraction 3/16. To solve this, we will divide the numerator (3) by the denominator (16).
Answer
The decimal representation of \( \frac{3}{16} \) is \( 0.1875 \).
Answer for screen readers
The decimal representation of the fraction ( \frac{3}{16} ) is ( 0.1875 ).
Steps to Solve
- Set up the division
To find the decimal representation of the fraction ( \frac{3}{16} ), we need to divide the numerator (3) by the denominator (16).
- Perform the division
Using long division, we can divide 3 by 16. Since 3 is less than 16, we place a decimal point and add a zero, making it 30.
- Calculate the first decimal place
16 goes into 30 once (1), so we write 1 next to the decimal point.
Subtract ( 16 \times 1 = 16 ) from 30, which gives us: $$ 30 - 16 = 14 $$
- Calculate the next decimal places
Bring down another zero, making it 140.
Now, divide 140 by 16. 16 goes into 140 eight times (8), so we write 8 next to the 1.
Subtract ( 16 \times 8 = 128 ) from 140: $$ 140 - 128 = 12 $$
- Continue with the division
Bring down another zero, making it 120.
16 goes into 120 seven times (7). We write 7 next to the 18.
Subtract ( 16 \times 7 = 112 ) from 120: $$ 120 - 112 = 8 $$
- Complete the decimal
Bring down another zero, making it 80.
16 goes into 80 five times (5), so we write 5 next to the 187.
Subtract ( 16 \times 5 = 80 ) from 80: $$ 80 - 80 = 0 $$
Now, we have completed the division and can represent ( \frac{3}{16} ) as ( 0.1875 ).
The decimal representation of the fraction ( \frac{3}{16} ) is ( 0.1875 ).
More Information
The result ( 0.1875 ) is a terminating decimal, meaning it ends after a finite number of digits. This shows that ( \frac{3}{16} ) can be expressed exactly in decimal form.
Tips
- Forgetting to add a decimal point when the numerator is smaller than the denominator. Always check if you need to add a decimal point and zeros to the numerator.
- Rounding too early in the division process. Ensure that the division process continues until you reach the desired precision without rounding until the end.
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