# What is 2 3/4 as a decimal?

An example of a decimal number is the number 1.66. The number "1.66" is the part of a whole and is the approximate equivalent of the fraction 83/50.

## Answer: 2 3/4 as a decimal is 2.75.

Let's analyze the two methods to write 2 3/4 as a decimal.

**Explanation: **

### Method 1: Writing 2 3/4 to a decimal using the division method.

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

Here, the fraction is 2 3/4 which means we need to perform 11 ÷ 4 [ 2 3/4 is in mixed fraction so on converting to improper fraction we got 11 / 4 ]

This gives the answer as 2.75. So, 2 3/4 in decimal is 2.75.

### Method 2: Writing 2 3/4 to decimal by converting the denominator to powers of 10.

Step 1: Find a number 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 its equivalent fraction.

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

2 3/4 = 11/4 = (11 × 25) / (4 × 25) = 275/100 = 2.75

Irrespective of the methods used, the answer to 2 3/4 to decimal will always remain the same.

You can also verify your answer using Cuemath's fraction to decimal calculator.