What is 8 and 3/4 as a decimal

One method to convert 35/4 to a decimal is by using the division method. Before we move ahead to the method, here is a quick recap on fractions: A fraction is a number representation that is broken down into two parts - the number on top is called the numerator, and the number on the bottom is called the denominator. To get a decimal using the division method, simply divide the numerator 35 by the denominator 4:

35 (numerator) ÷ 4 (denominator) = 8.75

And there you go! We got 8.75 as the answer when you convert 8 3/4 (or 35/4) to a decimal.

We can also define a decimal number as the number whose fractional part and the whole number part are separated by a decimal point. The point in a decimal number is called a decimal point. 

Answer: 4 3/8 as a decimal is equal to 4.375

What is 8 and 3/4 as a decimal

Let's analyze the two methods to write 4 3/8 as a decimal.

Explanation: 

Method 1:

Solving 4 3/8 as a decimal using the division method

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

To perform any operation first step is to change any mixed fraction to an improper fraction.

Here, the fraction is 4 3/8 which means we need to perform 35 ÷ 8 [ 4 3/8 is in mixed fraction so on converting to improper fraction we got 35 / 8 ]

This gives the answer as 4.375. So, 4 3/8 as a decimal is 4.375

Method 2: 

Solving 4 3/8 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 its 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.

4 3/8 = 35/8 = (35 × 25) / (8 × 25) = 875/200 = 437.5 / 100 = 4.375

Irrespective of the methods used, the answer to 4 3/8 as a decimal will always remain the same.

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

Thus, 4 3/8 as a decimal is equal to 4.375.

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Algebra

Convert to a Decimal 8 3/4

Step 1

A mixed number is an addition of its whole and fractional parts.

Step 2

Add and .

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To write as a fraction with a common denominator, multiply by .

Combine and .

Combine the numerators over the common denominator.

Simplify the numerator.

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Multiply by .

Add and .

Step 3

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Mixed Number Form:

First, note that 8 3/4 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

8 = whole number
3 = numerator
4 = denominator

In order to convert mixed number 8 3/4 to decimal form, you follow these steps:

  1. Convert the proper fraction to decimal: Divide the numerator by the denominator
    3 ÷ 4 = 0.75
  2. Add this decimal number to the whole number of the mixed fraction
    8 + 0.75 = 8.75

The mixed number 8 3/4 converted to decimal number is therefore:
8.75


What is 8 and 3/4 as a decimal

To start off, note that 8 3/4 is a mixed number, also known as a mixed fraction. It has a whole number and a fractional number. We have labeled the parts of the mixed number below so it is easier to follow along.

8 = Whole number
3 = Numerator
4 = Denominator

To get 8 3/4 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.


Here are the detailed math steps we use to convert 8 3/4 mixed number to decimal form:

Step 1: Multiply the whole number by the denominator:

8 × 4 = 32

Step 2: Add the product you got in Step 1 to the numerator:

32 + 3 = 35

Step 3: Divide the sum from Step 2 by the denominator:

35 ÷ 4 = 8.75

That's it folks! The answer to 8 3/4 in decimal form is displayed below:

8 3/4 = 8.75


Mixed Number in Decimal Form
8 3/4 in decimal form is not all we can do! Here you can convert another mixed number to decimal form.

What is 8 3/5 in decimal form?
Here is the next mixed number on our list that we have converted into decimal form.


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