Multiplying Fractions Calculator

The multiplying fractions calculator is here to determine the fraction multiplication and evaluate the product of two fractions in some seconds.

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Table of Contents:

Introduction to Multiplying Fractions Calculator:

Multiplying fractions calculator is an online tool that helps you to determine the fraction multiplication in less than a minute. Our tool evaluates the product of two fractions but also converts the solution of fraction multiplication into the simplest form.

Multiplying Fractions Calculator with steps

It is a helpful source for everyone who has no time to calculate fraction multiplication questions but wants to get a stronghold in this concept. With our fraction multiplication calculator, you can not only get a solution immediately but also get a better understanding.

What is Multiplying Fractions?

Multiplying fractions states that it multiplies the numerators of one fraction with numerator to another fraction to get the new numerator and multiplies the denominators of the first fraction with another fraction to get the new denominator.

When you multiply a fraction it gives the solution in a new fraction then you simplify that fraction into the simplest term with the help of the division method.

What is the Formula for Multiplying Fractions?

To multiply two fractions, a/b, and c/d, in which the a and c numerators of both fractions will be multiplied to get the new numerator, and the b, and d denominators multiply together to get the new denominator.

So, the formula for multiplying fractions used by the Multiplying fractions calculator to solve the multiplying fractions problem is:

$$ \frac{a}{b} \times \frac{c}{d} \;=\; \frac{a \times c}{b \times d} $$

How to Calculate Multiplying Fractions?

Multiplication fraction is a very easy-to-find product of two or more than two-fraction problems other than that of adding or subtraction fraction method. Still, there are some basic rules to calculate the multiplication fraction which are also used by the multiply fractions calculator. These rules are:

Step 1:

The fraction multiplier calculator writes down both fractions a/b and c/d irrespective of checking whether the given fraction is proper or improper.

Step 2:

In the next step, the fractions multiply calculator multiplies the numerator value with one fraction to another as a × c and multiply the denominator of the first fraction with another fraction denominator b × d.

Step 3:

After multiplication, the fractions multiplier gives the result as the fractions ac/bd.

Step 4:

In the end, the fraction multiplier converts the product of the fraction into the simplest form by using the division method.

Solved Example of Multiplying Fraction:

Let's see an example of multiplying fractions to understand the working procedure of a multiplying fractions calculator and know how to solve the multiplication fraction questions.

Example:

Find the fractions 4/5 multiplied by 11/5,

Solution:

To multiply fractions, simply multiply the numerators and the denominators of both fractions together. So, for 4/5 multiplied by 11/5, it would be:

$$ \frac{4}{5} \times \frac{11}{5} $$

$$ \frac{4 \times 11}{5 \times 5} $$

$$ \frac{44}{25} $$

$$ \frac{44}{25} \;=\; 1 \frac{19}{25} $$

$$ \frac{4}{5} \times \frac{11}{5} \;=\; 1 \frac{19}{25} $$

So, 4/5 multiplied by 11/5 equal 1 19/25.

How to Use Multiplying Fractions Calculator?

The fraction multiplication calculator has a user-friendly design that enables you to calculate the product of two or more fraction questions.

Before using our multiply fractions calculator, you must follow some simple steps, and you do not face any inconvenience during the calculation. These steps are:

  1. Enter the first fraction (numerator or denominator value ) in the input box.
  2. Enter the second fraction (numerator or denominator value ) in the second input box.
  3. Review your input fraction value before hitting the calculate button to start the evaluation process in the fractions multiply calculator.
  4. Click the “Calculate” button to get the result of your given fraction question as an input.
  5. You should try out the fraction multiplier calculator, first, so you can use the load example so you can be assured that it provides an accurate solution.
  6. Click on the “Recalculate” button to get a refresh page for more solutions of multiplied fraction problems.

Final Result of Fraction Multiplication Calculator:

Multiplying fractions calculator gives you the solution of multiplication fraction problem when you add the input to it. It provides you with solutions with a detailed procedure. It may contain as:

  • Result Option:

Result option gives you a solution for the multiply fraction problems to find the reduced fraction

  • Possible Steps:

When you click on this button, it provides you with a solution where all the evaluation processes of the fraction problem in steps.

Advantages of Multiply Fractions Calculator:

The fractions multiplier provides you with multiple advantages whenever you use it to calculate the product of fraction problems to get its solution immediately. These benefits are:

  • The fraction calculator multiplying is a free tool so you can use it anytime to find the solution of multiplication problems in real time.
  • It is a manageable tool that enables you to get the solution of multiple fraction questions.
  • You can try out our multiply fraction calculator to practice new examples and learn this concept without going to any tutor.
  • Our tool saves you time and effort from doing fraction question calculations and provides solutions in run-of-time.
  • The fraction multiplication calculator is a reliable tool that provides you with accurate solutions whenever you use it for the evaluation of multiply fraction questions without any mistakes.
  • You can operate our Multiplying fractions calculator on tablets, laptops, and mobile because it has a user-friendly layout.
Related References
Frequently Ask Questions

What is 1 over 3 multiply 1 over 3 fractions?

To multiply fractions, simply multiply the numerators together and multiply the denominators of both fractions. So, for 1/3 × 3/1 is,

$$ \frac{1}{3} \times \frac{3}{1} $$

$$ \frac{1 \times 3}{3 \times 1} $$

$$ \frac{3}{3} $$

$$ =\; 1 $$

$$ \frac{1}{3} \times \frac{3}{1} \;=\; 1 $$

Therefore the solution of 1/3 × 3/1 is 1.

What fraction multiplied by itself is equal to 4/25?

To find the fraction that, when multiplied by itself, equals 4/25. First, find the square root of 4/25. The square root of a fraction is after taking the square root of the numerator and the square root of the denominator separately. So, the square root of 4/25

$$ \frac{\sqrt{4}}{25} \;=\; \sqrt{2} \times \frac{2}{5} \times 5 $$

$$ \frac{\sqrt{2^2}}{5^5} \;=\; \frac{2}{5} $$

Therefore, the fraction multiplied by itself to equal ⅖.

How to multiply fractions using distributive property?

Multiplying fractions using the distributive property is different than normal multiplication of fractions because it breaks down one of the fractions into smaller fractions that are easier to multiply. Let's consider you want to multiply 𝑎/𝑏 by 𝑐/𝑑. Then it can be expressed as 𝑐/𝑑

$$ As,\; \frac{c}{d} \;=\; \frac{1}{c} \times \frac{1}{d} $$

Then, distribute the first fraction 𝑎/𝑏 from the second fraction, multiplying each part separately. So, 𝑎/𝑏 × 𝑐/𝑑

$$ (\frac{a}{b})(\frac{1}{c} \times \frac{1}{d}) $$

Now, you multiply each part separately:

$$ \frac{a}{b} \times \frac{1}{c} + \frac{a}{b} \times \frac{1}{d} $$

Simplify, after multiplication:

$$ \frac{ac}{b} + \frac{a}{bd} $$

So it is the 𝑎𝑐/𝑏 + 𝑎/𝑏𝑑 multiplied by the fractions using the distributive property.

What is the fraction of 3/5 multiplied by ⅕?

To multiply 1/5 and 3/5 multiply the numerator and denominator of both the fraction together as 1/5 × 3/5

$$ \frac{3}{5} \times \frac{1}{5} $$

$$ \frac{3 \times 1}{5 \times 5} $$

$$ =\; \frac{3}{25} $$

$$ \frac{3}{5} \times \frac{1}{5} = \frac{3}{25} $$

Therefore the solution of 3/5 × 1/5 is 3/25.

What is the fraction 4 over 1 multiplied by 1/ 2?

To multiply 4/1 By 1/2, multiply the numerators and the denominators together and then multiply the numerator with the numerator of other fraction and the denominator with a denominator.

$$ \frac{4}{1} \times \frac{1}{2} \;=\; \frac{4 \times 1}{1 \times 2} $$

$$ =\; \frac{4}{2} \;=\; 2 $$

$$ =\; \frac{4}{1} \times \frac{1}{2} \;=\; 2 $$

So, 4/1 multiplied by 1/2 is e quals to 2.

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