What is 1 4 of 10

Fraction Calculator

Please fill in the boxes below (input), then select one of the operations (+, -, × or ÷):

Here is the answer to questions like: What is 1/4 of 10? or how to multiply 1/4 by 10?

Note:

The resulting fraction is in the reduced form. A reduced fraction is a common fraction in its simplest possible form. This calculator does not provide result in the form of a mixed number.

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This calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.

Spelled result in words is one quarter.

Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one space between the integer and

The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Be careful; always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.

The below work with steps for 1/4 divided by 10 as a fraction help users to easily understand how to find what is 1/4 times 1/10.

Solved Example:

step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:fraction A = 1/4whole number B = 10

What to be found:

step 2 Find the reciprocal of whole number 10:

step 3 Multiplying 1/4 with reciprocal of 10 (1/4 times 1/10) produces the equivalent fraction for 1/4 divided by 10:

1/4 divided by 10 as a fraction equals to 1/40

The below solved example with step by step work shows how to find what is 10 times 1/4 or 1/4 times 10 as a fraction.

Solved Example:
What is 1/4 times 10 in fraction form?
step 1 Address the input parameters, values and observe what to be found:
Input parameters and values: A = 1/4 B = 10

What to be found:

step 2 Arrange the fractions in the product expression form as like the below:

step 3 Check the numerator and denominator and cancel if anything cancelled each other:

= 5/2

1/4 times 10 as a fraction equals to 5/2

How do you multiply 1/4 by 10? Here we will show you step-by-step how to solve 1/4 times 10, which can be written as follows:
Step 1: SetupFirst of all, note that 10 is the same as 10/1 since 10 divided by 1 is 10. Therefore, start by setting up the problem like this:
Step 2: MultiplyMultiply the numerators together (1 x 10 = 10) and multiply the denominators together (4 x 1 = 4) and make it into one fraction like so:
Step 3: SimplifySimplify the fraction above if possible. Here is the final answer in its simplest form: That's it folks! Now you know how to calculate 1/4 times 10.
Fraction Times Whole Number Calculator Enter another fraction and whole number for us to multiply together:

What is 1/5 times 10?

What is one fourth of 10?

1/4 x 10 = 2.50

Fraction Calculator

Calculating the fraction of a whole number is a very useful skill to learn that helps students to understand the nature of numbers and their interactions. In this article, we'll explain how to calculate 1/4 of 10 with step-by-step-examples.

Calculating the Answer as a Number

The simple rule to remember whenever you want to find a fraction of an amount is to divide the amount by the fraction's denominator, and then multiply that answer by the fraction. Using this rule, you'll be able to work out the fractional amount of the original number. Let's work it out together.

First we take the amount, 10, and divide it by the denominator, 4:

Next, we take the answer, 2.5, and multiply it by the numerator, 1:

As you can see, the answer to the question "what is 1/4 of 10?" as a number is 2.5.

Increase or Decrease an Amount by a Fraction

What if you wanted to increase or decrease 10 by 1/4? Once you have calculated the answer above, 2.5, you deduct that amount from the whole number to decrease it by 1/4 and you add it to increase:

Increase = 10 + 2.5 = 12.5

Decrease = 10 - 2.5 = 7.5

Calculating the Answer as a Fraction

Sometimes, you might want to show your answer as another fraction. In that case, we can do the following.

First, we take the whole number and turn it into a fraction by using 1 as the fraction denominator:

Now that we have two fractions, we can multiply the numerators and denominators together to get our answer in fraction form:

We can simplify this new fraction down to lower terms. To do that we need to know something in math which is called the GCD, or greatest common divisor.

I won't go through the steps of finding the GCD here as we'll cover it in a future article, but for now all you need to know is that the greatest common divisor of 10 and 4 is 2.

Using the GCD, we can divide the new numerator (10) and the denominator (4) by 2 to simplify the fraction:

Finally, we can put the fraction answer together:

Now you might have noticed that the fraction we have has a numerator that is larger than the denominator. This is called a mixed or improper fraction and means that there is a whole number involved. We can simplify this down to a mixed number.

We'll put together a blog post on converting improper fractions to a mixed number to explain those steps in more detail, but for the purposes of this article, we'll go ahead and just give you the mixed number answer:

Hopefully this article helps you to understand how you can work with fractions of whole numbers and work this out quickly for yourself whenever you need it.

Practice Fraction of Number Worksheets

Like most math problems, finding the fraction of a number is something that will get much easier for you the more you practice the problems and the more you practice, the more you understand.

Whether you are a student, a parent, or a teacher, you can create your own fractions of a whole number worksheets using our fraction of a number worksheet generator. This completely free tool will let you create completely randomized, differentiated, fraction of a number problems to help you with your learning and understanding of fractions.

Practice Fractions of a Number Using Examples

If you want to continue learning about how to calculate the fraction of a whole number, take a look at the quick calculations and random calculations in the sidebar to the right of this blog post.

We have listed some of the most common fractions in the quick calculation section, and a selection of completely random fractions as well, to help you work through a number of problems.

Each article will show you, step-by-step, how to work out the fraction of any whole number and will help students to really learn and understand this process.

Calculate Another Fraction of a Number