# What is 7/16 as a decimal?

Both fractions and decimals are just two ways to represent the same numbers. We will write the fraction 7/16 as a decimal.

## Answer: 7/16 as a decimal is equal to 0.4375.

Let's convert the given fraction 7/16 as a decimal number using two methods.

**Explanation:**

### Method 1: Writing 7/16 as a decimal using the division method

To convert any fraction to a decimal, we just need to divide its numerator by denominator.

Here the fraction is 7/16 which means we need to perform 7 ÷ 16.

It is difficult to perform a division when a dividend is less than the divisor.

So, we re-write 7/16 as (700/16) ÷ 100.

So, 700/16 = 43.75

Now, 43.75 ÷ 100 = 0.4375.

Therefore, 7/16 = (700/16) ÷ 100 = (43.75) ÷ 100 = 0.4375

This gives the answer as 0.4375. So, 7/16 as a decimal is 0.4375

### Method 2: Writing 7/16 as a decimal by converting the denominator to powers of 10

Step 1: Find a number such that we can multiply by the denominator of the fraction to make it 10 or 100 or 1000 and so on.

Step 2: Multiply both numerator and denominator by that number to convert it into it's an equivalent fraction.

Step 3: Then write down just the numerator, putting the decimal point in the correct place, that is, one space from the right-hand side for every zero in the denominator.

7/16 = (7 × 625) / (16 × 625) = 4375/10000 = 0.4375

Irrespective of the methods used, the answer to 7/16 as a decimal will always remain the same.

You can also verify your answer using Cuemath's Fraction to Decimal Calculator.