Possibly in fifth grade was the last time you considered multiplying fractions. However, you might need to go around in the recesses of your memory for how to accomplish it if you’re attempting to divide a recipe in half or figure out the new price of a bargain sweater using fractions. Fractions are multiplied by multiplying the supplied numerators first, then by multiplying the specified denominators. Also, you can instantly multiply fractions by using the multiple fraction calculator by calculator-online.net. The next step is to further simplify the resultant fraction and, if necessary, reduce it to its simplest form. This article will teach you everything about multiplying fractions.
How Can Fractions Be Multiplied?
The denominator does not need to match when multiplying fractions, unlike with adding or subtracting fractions. Any two fractions with various denominators can be multiplied in this situation with ease. The only thing to keep in mind is that the fractions should either be correct fractions or improper fractions; they shouldn’t be in the mixed form. Follow these steps to learn how to multiply fractions as these are also used by the multiple fraction calculator to compute results:
- Multiply the numerators together.
- Multiply the denominators together.
- The resulting fraction should be reduced to its simplest form.
Fraction Multiplication Rules:
The following guidelines should be followed while multiplying fractions:
If there are any mixed fractions, they must first be converted to improper fractions. The numerators of the provided fractions should then be multiplied.
Separately multiply the denominators.
Reduce the value to its simplest form.
These rules are also utilized by the subtracting fractions calculator to calculate the results in a matter of seconds. Any two fractions may have their product determined by using these three principles. Let’s now examine each specific instance of multiplying various sorts of fractions with fractions.
Fraction Multiplication with the Same Numerator:
The rule for multiplying fractions remains the same while using the same denominator. Likewise, the use of the multiple fraction calculator to get instant multiplication of ratios also remains the same. Like fractions are fractions with the same denominator. In the case of multiplication and division, the procedure is the same even if addition and subtraction of like fractions differ from addition and subtraction of unlike fractions. The fraction is reduced to its simplest form by multiplying the numerators and denominators first.
⅕ * ⅗ * 6/5
⅕ * ⅗ * 6/5
You can also verify the results by putting the problem in a multiple fraction calculator online.
Fraction Multiplication with Different Numerators:
It is the same as multiplying similar fractions to multiply fractions with unlike denominators.
5/7 * 5/3
5/7 * 5/3
The dividing fractions calculator will also calculate the same results for you nut saving you a lot of time.
Fractional Multiplication with Whole Numbers:
It’s simple to understand how to multiply fractions by whole numbers. Since multiplication is just the same number added many more than once, this principle also holds true for fractions. And the same principle is utilized by the adding fractions calculator as well to generate accurate outputs of fraction multiplication.
Fraction Multiplication with Whole Numbers: Steps
The easy rule of multiplying the numerators, then the denominators, and then limiting them to the lowest terms is used to multiply fractions with whole numbers. But when dealing with whole numbers, we represent them in the fractional form by adding “1” to the denominator. An illustration will help you comprehend this.
Multiply up to 6 and 3/4.
Let’s multiply the provided fraction by a whole number using the procedures listed below.
- In this instance, 6 is a whole number that may be expressed as 5/1 and then multiplied in the same way as we multiply ordinal fractions.
- This indicates that we must multiply 6/1 by 3/4.
- The numerators are multiplied, 6 x 3 = 18.
- Add the denominators together, 1 x 4 = 4.
- 18/4 is the final product, which cannot be decreased anymore.
- 18/4 will be converted to the mixed fraction 3 3 4 since it is an improper fraction (18/4).
In this article, we discussed the product of fractions either manually or by using the best multiple fraction calculator available online.