Language menu Multiply fractions: 3/4 × 120 = ? Multiplication result of the plain (simple, common) fractions explained

You are watching: What is 3 4 of 120

### Reduce (simplify) fountain to their lowest state equivalents:

Factor every the number in stimulate to easily reduce (simplify) the finish fraction.
Fraction: 3/4 currently reduced come the shortest terms. The numerator and also denominator have no common prime factors. Their prime factorization: 3 is a prime number, it can not be factored right into other element factors; 4 = 22;

### Multiply the numerators and denominators that the fractions separately:

Factor every the numbers in stimulate to conveniently reduce (simplify) the end fraction.
3/4 × 120 = (3 × 120) / 4 = (3 × 23 × 3 × 5) / 22 = (23 × 32 × 5) / 22

## Reduce (simplify) the portion to the lowest state equivalent:

### Calculate the greatest common factor, GCF:

Multiply every the common prime factors, by the lowest exponents. Gcf(23 × 32 × 5; 22) = 22
>> calculate the greatest typical factor, GCF, online calculator

### Divide the numerator and denominator by GCF.

(23 × 32 × 5) / 22 = ((23 × 32 × 5) ÷ 22) / (22 ÷ 22) = (23 ÷ 22 × 32 × 5)/(22 ÷ 22) = (2(3 - 2) × 32 × 5)/2(2 - 2) = (21 × 32 × 5)/20 = (2 × 32 × 5)/1 = 2 × 9 × 5 = 90;

## As a percentage: 3/4 × 120 = 9,000%

### just how to main point the ordinary fractions: 9/14 × 130/8

Writing numbers: comma "," supplied as a thousands separator; suggest "." provided as a decimal mark; Symbols: / portion bar; ÷ divide; × multiply; + plus; - minus; = equal; ≈ approximation;

## Multiply simple fractions, virtual calculator

Enter simple fractions come multiply, ie: 6/9 * -8/36 * 12/-90:

## The latest fractions multiply

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## How come multiply 2 fractions?

When us multiply plain fractions, the end portion will have: as a numerator, the result of multiplying all the numerators of the fractions, together a denominator, the result of multiplying every the platform of the fractions. A/b × c/d = (a × c) / (b × d) a, b, c, d are integer numbers; if the bag (a × c) and (b × d) room not coprime (they have typical prime factors) the end portion should be lessened (simplified) to reduced terms.

### How to multiply ordinary fractions? Steps.

Start by reducing fountain to reduced terms (simplifying). Variable the numerators and also the denominators of the decreased fractions: rest them down to your prime factors. Over the fraction bar we compose the product of every the prime factors of the fractions" numerators, there is no doing any calculations. Below the portion bar we create the product of all the prime components of the fractions" denominators, there is no doing any calculations. Cross the end all the usual prime components that show up both above and listed below the fraction bar. Main point the staying prime factors above the portion bar - this will certainly be the numerator of the resulted fraction. Main point the remaining prime factors below the portion bar - this will be the denominator of the result fraction. Over there is no require to minimize (simplify) the resulting fraction, since we have currently crossed the end all the common prime factors. If the resulted portion is an wrong one (without considering the sign, the numerator is bigger than the denominator), it might be composed as a mixed number, consists of an integer and also a proper fraction of the exact same sign. ... Review the rest of this article, here: how to multiply ordinary (common) fractions?

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