Language menu Multiply fractions: 13/56 × 5/7 = ? Multiplication an outcome of the plain (simple, common) fountain explained


You are watching: 13/56 + 5/7

Reduce (simplify) fountain to their lowest terms equivalents:

Factor every the numbers in stimulate to quickly reduce (simplify) the end fraction.
Fraction: 13/56 already reduced come the lowest terms. The numerator and also denominator have no usual prime factors. Their prime factorization: 13 is a prime number, it can not be factored into other element factors; 56 = 23 × 7;
Fraction: 5/7 already reduced to the lowest terms. The numerator and denominator have actually no typical prime factors. Your prime factorization: 5 is a element number, it cannot be factored into other element factors; 7 is a prime number, it cannot be factored into other element factors;

Multiply the numerators and denominators that the fractions separately:

Factor every the numbers in bespeak to conveniently reduce (simplify) the finish fraction.
13/56 × 5/7 = (13 × 5) / (56 × 7) = (13 × 5) / (23 × 7 × 7) = (5 × 13) / (23 × 72)

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

Calculate the greatest common factor, GCF:


Multiply all the common prime factors, by the lowest exponents. But, the numerator and also denominator have actually no usual factors. Gcf(5 × 13; 23 × 72) = 1
>> calculation the greatest common factor, GCF, virtual calculator

Divide the numerator and also denominator through GCF.

The numerator and also denominator that the portion are coprime numbers (no common prime factors, GCF = 1). The portion cannot be reduced (simplified): irreducible fraction.
0.165816326531 = 0.165816326531 × 100/100 = (0.165816326531 × 100)/100 = 16.581632653061/100 ≈ 16.581632653061% ≈ 16.58%

As a hopeful proper fraction (numerator 13/56 × 5/7 = 65/392

As a decimal number: 13/56 × 5/7 ≈ 0.17

As a percentage: 13/56 × 5/7 ≈ 16.58%

More work of this kind:

just how to multiply the ordinary fractions: 19/66 × - 11/17

Writing numbers: comma "," used as a thousands separator; allude "." provided as a decimal mark; numbers rounded to max. 12 decimals (whenever the case); Symbols: / portion bar; ÷ divide; × multiply; + plus; - minus; = equal; ≈ approximation;

Multiply simple fractions, virtual calculator

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

The latest fractions multiplied


13/56 × 5/7 = ? Oct 28 04:09 UTC (GMT)
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13/56 × 5/7 = ? Oct 28 04:09 UTC (GMT)
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36/65 × 108/22 = ? Oct 28 04:08 UTC (GMT)
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How to multiply 2 fractions?

When us multiply plain fractions, the end fraction will have: as a numerator, the an outcome of multiplying every the numerators of the fractions, as 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 pairs (a × c) and also (b × d) space not coprime (they have usual prime factors) the end fraction should be decreased (simplified) to lower terms.

How come multiply ordinary fractions? Steps.

Start by reducing fountain to reduced terms (simplifying). Element the numerators and the denominators of the reduced fractions: rest them under to your prime factors. Over the fraction bar we compose the product of all the prime components of the fractions" numerators, without doing any type of calculations. Below the portion bar we compose the product of every the prime factors of the fractions" denominators, there is no doing any calculations. Cross out all the usual prime determinants that show up both over and listed below the portion bar. Main point the continuing to be prime factors over the fraction bar - this will be the molecule of the result fraction. Main point the staying prime factors below the portion bar - this will certainly be the denominator the the resulted fraction. There is no need to alleviate (simplify) the resulting fraction, due to the fact that we have already crossed out all the usual prime factors. If the resulted portion is an not correct one (without considering the sign, the numerator is larger than the denominator), it can be composed as a mixed number, consist of of one integer and also a proper fraction of the same sign. ... Check out the remainder of this article, here: how to multiply ordinary (common) fractions?


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(1) What is a fraction? fountain types. Exactly how do castle compare?

(2) Fractions transforming form, expand and also reduce (simplify) fractions

(3) reducing fractions. The greatest typical factor, GCF

(4) how to, comparing 2 fractions through unlike (different) numerators and denominators

(5) Sorting fountain in ascending bespeak

(6) adding ordinary (common, simple) fountain

(7) Subtracting ordinary (common, simple) fractions

(8) Multiplying simple (common, simple) fountain

(9) Fractions, theory: rational number