Updated March 13, 2018
By Pamela Martin
Knowing how to find a fraction of a number is a handy skill for home project measurements, reducing recipes or calculating discounts. You can find two-thirds of number using either fractions or decimals. Remember that “of” in a math sentence means to multiply and that in fractions, denominators are on the bottom and numerators on top.
Multiply 2/3 and your number. If you have a whole number, convert it to a fraction by putting it over a denominator of 1. When multiplying fractions, calculate numerator times numerator, then denominator times denominator. For example, to find two-thirds of 18, multiply 2/3 x 18/1 to get 36/3.
Reduce the resulting fraction as needed by dividing it by the common denominator. For example, the common denominator of 36 and 3 is 3. Diving 36 and 3 by 3 gives you a fraction of 12/1, which is the same as 12. Thus, two-thirds of 18 is 12.
When working with a mixed number, or a whole number and a fraction, first change it to an improper fraction: Multiply the denominator and the whole number. Add that to the numerator. Write the sum over the original denominator. For example, to convert 2 5/6: 6 x 2 = 12; 12 + 5 = 17. The improper fraction is 17/6.
Change two-thirds to a decimal and then multiply the decimal and your number. To convert 2/3 to decimal, divide the numerator by the denominator: 2 / 3 = 0.66666 ... 7, which you can round to 0.67. For example, to find 2/3 of 21: 0.67 * 21 = 14.07. Round to the nearest whole number: 14.
The below solved example with step by step work shows how to find what is 2 times 1/3 or 1/3 times 2 as a fraction.
Solved Example:
What is 1/3 times 2 in fraction form?
step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 1/3
B = 2
What to be found:
1/3 x 2 = ?step 2 Arrange the fractions in the product expression form as like the below:
= 1/3 x 2
= (1 x 2)/(3 x 1)
step 3 Check the numerator and denominator and cancel if anything cancelled each other:
= (1 x 2)/(3 x 1)
= 2/3
1/3 x 2= 2/3 Hence,
1/3 times 2 as a fraction equals to 2/3
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 sixth.
How do we solve fractions step by step?
- Divide: 1/3 : 2 = 1/3 · 1/2 = 1 · 1/3 · 2 = 1/6
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/1 is 1/2) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - one third divided by two is one sixth.
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
fraction and use a forward slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.
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.
In this article, we'll show you exactly how to calculate 1/3 of 2 so you can work out the fraction of any number quickly and easily! Let's get to the math!
Want to quickly learn or show students how to convert 1/3 of 2? Play this very quick and fun video now!
You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.
Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:
So now that we've converted 2 into a fraction, to work out the answer, we put the fraction 1/3 side by side with our new fraction, 2/1 so that we can multiply those two fractions.
That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:
The complete and simplified answer to the question what is 1/3 of 2 is:
2/3
Hopefully this tutorial has helped you to understand how to find the fraction of any whole number. You can now go give it a go with more numbers to practice your newfound fraction skills.
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