Language Menu add fractions: 13/56 + 5/7 = ? addition of simple (simple, common) mathematics fractions, an outcome explained


You are watching: 13/56 + 5/7 in fraction

Reduce (simplify) fountain to their lowest state equivalents:

To mitigate a fraction: divide the numerator and denominator by their greatest usual factor, GCF.
Fraction: 13/56 already reduced come the lowest terms. The numerator and denominator have no common prime factors. Their prime factorization: 13 is a prime number; 56 = 23 × 7; gcf (13; 23 × 7) = 1; Fraction: 5/7 currently reduced come the lowest terms. The numerator and also denominator have actually no usual prime factors. Your prime factorization: 5 is a prime number; 7 is a prime number; gcf (5; 7) = 1;
mitigate (simplify) fountain to their most basic form, online calculator

To run fractions, develop up their denominators the same.

Calculate LCM, the least typical multiple the the denominators of the fractions:

LCM will be the usual denominator that the fractions that we occupational with.
The prime factorization that the denominators: 56 = 23 × 7; 7 is a prime number; Multiply all the distinct prime factors, by the largest exponents: LCM (56; 7) = 23 × 7 = 56
Divide LCM by the molecule of every fraction. Because that fraction: 13/56 is 56 ÷ 56 = 1; because that fraction: 5/7 is 56 ÷ 7 = (23 × 7) ÷ 7 = 8;
Expand each portion - multiply the numerator and denominator by the widening number. Then work-related with the molecule of the fractions.
13/56 + 5/7 = (1 × 13)/(1 × 56) + (8 × 5)/(8 × 7) = 13/56 + 40/56 = (13 + 40)/56 = 53/56

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

To reduce a fraction: division the numerator and also denominator by your greatest usual factor, GCF.
53/56 currently reduced come the shortest terms. The numerator and denominator have no typical prime factors. Your prime factorization: 53 is a prime number; 56 = 23 × 7; gcf (53; 23 × 7) = 1;
alleviate (simplify) fractions to their most basic form, digital calculator

Rewrite the portion

As a decimal number:


0.946428571429 = 0.946428571429 × 100/100 = (0.946428571429 × 100)/100 = 94.642857142857/100 ≈ 94.642857142857% ≈ 94.64%

As a hopeful proper fraction (numerator 13/56 + 5/7 = 53/56

As a decimal number: 13/56 + 5/7 ≈ 0.95

As a percentage: 13/56 + 5/7 ≈ 94.64%

More operations of this kind:

exactly how to subtract the plain fractions: - 17/65 + 9/12

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

Subtract plain fractions, virtual calculator

Enter simple fractions come subtract, ie: 6/9 - 8/36 - 12/-90 + 5/20:

The recent subtracted fountain


13/56 + 5/7 = ? Sep 21 07:51 UTC (GMT)
- 24/4,936 + 49/9 = ? Sep 21 07:51 UTC (GMT)
- 21/24 - 61/28 = ? Sep 21 07:51 UTC (GMT)
7/8 - 1/4 - 1/2 = ? Sep 21 07:51 UTC (GMT)
- 30/48 + 29/61 = ? Sep 21 07:51 UTC (GMT)
- 128/298,466 - 38/15 = ? Sep 21 07:50 UTC (GMT)
- 34/65 + 35/25 = ? Sep 21 07:50 UTC (GMT)
47/81 - 41/90 = ? Sep 21 07:50 UTC (GMT)
- 32/947 - 59/19 = ? Sep 21 07:50 UTC (GMT)
- 8/22 + 19/15 = ? Sep 21 07:50 UTC (GMT)
7/20 - 5/35 = ? Sep 21 07:50 UTC (GMT)
15/9 - 9/76 - 4/20 = ? Sep 21 07:50 UTC (GMT)
- 17/69 - 14/87 = ? Sep 21 07:50 UTC (GMT)
check out more... Subtracted fountain

There are two cases concerning the denominators when we subtract plain fractions:

A. The fractions have actually like denominators; B. The fractions have unlike denominators.

A. Exactly how to subtract simple fractions that have actually like denominators?

Simply subtract the numerators of the fractions. The denominator the the resulting portion will it is in the typical denominator that the fractions. Mitigate the resulting fraction.

An instance of subtracting simple fractions that have actually like denominators, with explanations

3/18 + 4/18 - 5/18 = (3 + 4 - 5)/18 = 2/18; We merely subtracted the numerators of the fractions: 3 + 4 - 5 = 2; The denominator that the resulting portion is: 18; The resulting fraction is being diminished as: 2/18 = (2 ÷ 2)/(18 ÷ 2) = 1/9.

B. To subtract fountain with different denominators (unlike denominators), construct up the fountain to the same denominator. How is the done?

1. Alleviate the fountain to the lowest terms (simplify them). Factor the numerator and also the denominator of each fraction, break them down to prime factors (run your prime factorization). Calculation GCF, the greatest typical factor the the numerator and also of the denominator of every fraction. GCF is the product of all the unique usual prime components of the numerator and also of the denominator, multiply by the lowest exponents. Divide the numerator and the denominator the each portion by their GCF - after this operation the fraction is lessened to that lowest terms equivalent. 2. Calculation the least typical multiple, LCM, of every the fractions" brand-new denominators: LCM is walk to it is in the common denominator of the included fractions, also called the lowest common denominator (the least common denominator). Element all the brand-new denominators of the decreased fractions (run the element factorization). The least typical multiple, LCM, is the product of every the unique prime components of the denominators, multiply by the biggest exponents. 3. Calculation each fraction"s expanding number: The expanding number is the non-zero number that will be used to multiply both the numerator and the denominator of every fraction, in bespeak to construct all the fractions up to the same common denominator. Division the least usual multiple, LCM, calculated above, by the denominator of each fraction, in stimulate to calculate each fraction"s expanding number. 4. Expand each fraction: Multiply each fraction"s both numerator and denominator by the broadening number. At this point, fountain are accumulated to the exact same denominator. 5. Subtract the fractions: In order come subtract every the fractions simply subtract all the fractions" numerators. The end portion will have as a denominator the least common multiple, LCM, calculation above. 6. Mitigate the end portion to the lowest terms, if needed. ... Check out the remainder of this article, here: how to subtract ordinary (common) fractions?


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

(2) Fractions changing form, expand and reduce (simplify) fractions

(3) reduce fractions. The greatest usual factor, GCF

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

(5) Sorting fountain in ascending order

(6) adding ordinary (common, simple) fractions

(7) Subtracting plain (common, simple) fractions

(8) Multiplying simple (common, simple) fountain

(9) Fractions, theory: rational number