# What is 3/16 in decimal form?

#### Understand the Problem

The question is asking to convert the fraction 3/16 into its decimal form, which involves dividing the numerator by the denominator.

$0.1875$

The decimal form of the fraction $\frac{3}{16}$ is $0.1875$.

#### Steps to Solve

1. Setting up the division
To convert the fraction $\frac{3}{16}$ into decimal form, we need to divide the numerator (3) by the denominator (16).

2. Performing the division
We can set it up as $3 \div 16$. Since 3 is less than 16, we will start with 3.0 (i.e., 30 tenths) to perform the division.

3. Calculating the first decimal place
Calculating $30 \div 16$ gives us 1 (since 16 fits into 30 once).

• We have a remainder of $30 - 16 = 14$(so now we're looking at 14 tenths).
4. Continuing to the next decimal place
Next, we take the remainder 14, bringing down another 0 to get $140$.

• Now perform $140 \div 16$, which goes 8 times (since $16 \times 8 = 128$).
• The new remainder is $140 - 128 = 12$.
5. Finding further decimal places
We then bring down another 0, resulting in $120$.

• Now calculate $120 \div 16$, which gives 7 (since $16 \times 7 = 112$).
• This time the remainder is $120 - 112 = 8$.
6. Continuing the process
Bring down another 0 to work with $80$.

• Calculate $80 \div 16$, which fits exactly 5 times (since $16 \times 5 = 80$).
• This leaves us with a remainder of 0.
7. Writing the final result
Combining our results, we find that $\frac{3}{16}$ equals $0.1875$.

The decimal form of the fraction $\frac{3}{16}$ is $0.1875$.

When converting fractions to decimals, it's common to continue finding decimal places until the division is complete or you reach a repeating decimal. In this case, $0.1875$ is a terminating decimal.