How do you figure out what 1/3 of 1/2 is?

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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Fraction of a Number Calculator

Next Fraction of a Number Calculation

Welcome to the Smartick blog! In this week’s post, we are going to learn how to calculate halves, thirds, and fourths. These expressions are not only used in math problems, but also in daily life.

Do you know what they are? Do you know how to calculate them? In this post, you will realize how easy it is to calculate halves, thirds, and fourths.

Halves

One half is equivalent to the fraction: 1/2. Therefore, it is half of any amount. Halves are calculated by dividing by 2.

For example:

One half of 10 = ½ of 10 = 10/2 = 5.

One half of 34 =  ½ of 34 = 34/2 = 17.

Three halves of 14 =  3/2 of 14 = 3 x 14/2 = 3 x 7 = 21.

Thirds

One third is equivalent to the fraction: 1/3. Therefore, it is a third of an amount. Thirds are calculated by dividing by 3.

For example:

One third of 24 =1/3 of 24 = 24/3 = 8.

One third of 33 =1/3 of 33 = 33/3 = 11.

Five thirds of 15 =  5/3 of 15 = 5 x 15/3 = 5 x 5 = 25.

Fourths

One fourth is equivalent to the fraction: 1/4. Therefore, it is a quarter of an amount. Fourths are calculated by dividing by 4.

For example:

One fourth of 20 =  ¼ of 20 = 20/4 = 5.

One fourth of 28 =  ¼ of 28 = 28/4  = 7.

Seven fourths of 8 = 7/4 of 8 = 7 x 8/4 = 7 x 2 = 14.

Have you learned about halves, thirds, and fourths? Feel free to share this post with your friends and colleagues so that they too can learn. And remember that in order to learn these calculations and much more it is best to sign up on Smartick and try it for free!

Learn More:

• Half, Third, Fourth, Fifth in Math: Definition & Calculation
• Learn about Fractions: Halves, Thirds and Fourths
• Solve Fraction Problems with Halves, Thirds and Quarters
• Strategy for Mental Calculation: Halves
• Using the Number Line to Compare Fractions

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This calculator adds two fractions. When fractions have different denominators, firstly convert all fractions to common denominator. Find Least Common Denominator (LCD) or simple multiply all denominators to find common denominator. When all denominators are same, simply add the numerators and place the result over the common denominator. Then simplify the result to the lowest terms or a mixed number.

Spelled result in words is five sixths.

How do we solve fractions step by step?

1. Add: 1/2 + 1/3 = 1 · 3/2 · 3 + 1 · 2/3 · 2 = 3/6 + 2/6 = 3 + 2/6 = 5/6
   It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 3) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 3 = 6. In the following intermediate step, it cannot further simplify the fraction result by canceling.
   In other words - one half plus one third is five sixths.

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 /) have the same priority and must evaluate from left to right.

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