5 divided by 3 as a fraction

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The below work with steps for 2/5 divided by 3/10 as a fraction help users to easily understand how to find what is 2/5 times 10/3.

Solved Example:
Find what is 2/5 divided by 3/10 equals to?

step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
fraction A = 2/5
fraction B = 3/10

What to be found:
Find what is 2/5 divided by 3/10 in fraction.
2/5 ÷ 3/10 = ?

step 2 Find the reciprocal of fraction 3/10:
The reciprocal of fraction 3/10 is 10/3.

step 3 Multiplying 2/5 with reciprocal of 3/10 (2/5 times 10/3) produces the equivalent fraction for 2/5 divided by 3/10:
= 2/5 x 10/3
= (2 x 10)/(5 x 3)
= 2 x 2/3
= 4/3
2/5 ÷ 3/10 = 4/3

Hence,
2/5 divided by 3/10 as a fraction equals to 4/3

The below work with steps for 3/5 divided by 3/8 as a fraction help users to easily understand how to find what is 3/5 times 8/3.

Solved Example:
Find what is 3/5 divided by 3/8 equals to?

step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
fraction A = 3/5
fraction B = 3/8

What to be found:
Find what is 3/5 divided by 3/8 in fraction.
3/5 ÷ 3/8 = ?

step 2 Find the reciprocal of fraction 3/8:
The reciprocal of fraction 3/8 is 8/3.

step 3 Multiplying 3/5 with reciprocal of 3/8 (3/5 times 8/3) produces the equivalent fraction for 3/5 divided by 3/8:
= 3/5 x 8/3
= (3 x 8)/(5 x 3)
= 1 x 8/5
= 8/5
3/5 ÷ 3/8 = 8/5

Hence,
3/5 divided by 3/8 as a fraction equals to 8/5

This fraction 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.

The result:

(3/5) : 5 = 3/25 = 0.12

How do we solve fractions step by step?

1. Divide: 3/5 : 5 = 3/5 · 1/5 = 3 · 1/5 · 5 = 3/25
   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 5/1 is 1/5) 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 - three fifths divided by five is three twenty-fifths.

Rules for expressions with fractions:

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 sign 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.

Math Symbols

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.

Confused by long division? By the end of this article you'll be able to divide 5 by 3 using long division and be able to apply the same technique to any other long division problem you have! Let's take a look.

Want to quickly learn or show students how to solve 5 divided by 3 using long division? Play this very quick and fun video now!

Okay so the first thing we need to do is clarify the terms so that you know what each part of the division is:

• The first number, 5, is called the dividend.
• The second number, 3 is called the divisor.

What we'll do here is break down each step of the long division process for 5 divided by 3 and explain each of them so you understand exactly what is going on.

5 divided by 3 step-by-step guide

Step 1

The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:

Step 2

We can work out that the divisor (3) goes into the first digit of the dividend (5), 1 time(s). Now we know that, we can put 1 at the top:

Step 3

If we multiply the divisor by the result in the previous step (3 x 1 = 3), we can now add that answer below the dividend:

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (5 - 3 = 2) and write that answer below:

So, what is the answer to 5 divided by 3?

If you made it this far into the tutorial, well done! There are no more digits to move down from the dividend, which means we have completed the long division problem.

Your answer is the top number, and any remainder will be the bottom number. So, for 5 divided by 3, the final solution is:

1

Remainder 2

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• What is 5 Divided by 3 Using Long Division?

• "What is 5 Divided by 3 Using Long Division?". VisualFractions.com. Accessed on January 3, 2023. http://visualfractions.com/calculator/long-division/what-is-5-divided-by-3-using-long-division/.

• "What is 5 Divided by 3 Using Long Division?". VisualFractions.com, http://visualfractions.com/calculator/long-division/what-is-5-divided-by-3-using-long-division/. Accessed 3 January, 2023.

• What is 5 Divided by 3 Using Long Division?. VisualFractions.com. Retrieved from http://visualfractions.com/calculator/long-division/what-is-5-divided-by-3-using-long-division/.

Extra calculations for you

Now you've learned the long division approach to 5 divided by 3, here are a few other ways you might do the calculation:

• Using a calculator, if you typed in 5 divided by 3, you'd get 1.6667.
• You could also express 5/3 as a mixed fraction: 1 2/3
• If you look at the mixed fraction 1 2/3, you'll see that the numerator is the same as the remainder (2), the denominator is our original divisor (3), and the whole number is our final answer (1).

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