# What is 5/16 as a decimal?

## Want to practice?

• A fraction is the representation of the number of parts out of the whole. The fraction has two parts- the numerator and the denominator, which is separated by a line.
• The number above the line is called the numerator and the number below the line is called the denominator.
• Sometimes the fractions are also written in their decimal form.
• The numerator is divided by the denominator to get the decimal form of the fraction.

Let us find the decimal form of the given fraction $$\frac{\mathbf5}{\mathbf{16}}$$ by carrying out the division.

• When you have a fraction in which the denominator is greater than the numerator, we start the quotient with decimal point and add 0 to the dividend.
• Note that 0 can be added in each of the steps to the remainder to make it divisible.
• We can continue dividing until you reach a remainder of 0.
• The quotient is the decimal form of the fraction.
• Converting fractions to decimals helps in adding or subtracting them easily without having to find the common denominator.

Hence we have $$\frac{\mathbf5}{\mathbf{16}}$$ =0.4125.

## Remember

Here are some common terms you should be familiar with.

• In the fraction $$\frac56$$ , the number 5 is the dividend (our numerator)
• The number 6 is our divisor (our denominator)

Do you want to know: what is 7/9 as a decimal fraction?