Language food selection 13/40 + 4 = ? adding Ordinary (Simple, Common) math Fractions Calculator, enhancement Explained action by action

You are watching: 13*40*4

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

To alleviate a fraction: divide the numerator and also denominator by their greatest typical factor, GCF.
Fraction: 13/40 currently reduced to the lowest terms. The numerator and denominator have actually no usual prime factors. Their prime factorization: 13 is a prime number; 40 = 23 × 5; gcf (13; 23 × 5) = 1;
mitigate (simplify) fractions to their most basic form, virtual calculator

## Rewrite the expression:

### As a combined number (also dubbed a combined fraction):

Mixed number = a whole number and a ideal fraction, that the same sign. Proper fraction = numerator smaller than denominator.

## As a percentage: 13/40 + 4 = 432.5%

### exactly how to subtract the ordinary fractions: - 20/49 - 15/9

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

## Add plain fractions, digital calculator

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

## The latest included fractions

 13/40 + 4 = ? Sep 30 08:47 UTC (GMT) - 20/1,618 - 126/3,175 = ? Sep 30 08:46 UTC (GMT) 13/27 - 13/24 - 8/30 - 8/31 - 15/32 = ? Sep 30 08:46 UTC (GMT) - 49/3 + 5/20 + 11/4 + 7/9 = ? Sep 30 08:46 UTC (GMT) - 565/56,088 - 25/15 = ? Sep 30 08:46 UTC (GMT) 1/9 - 1/27 = ? Sep 30 08:46 UTC (GMT) 17/23 - 24/30 = ? Sep 30 08:46 UTC (GMT) 67/1,027 + 151,616 = ? Sep 30 08:46 UTC (GMT) - 4/17 - 3/16 - 7/8 = ? Sep 30 08:46 UTC (GMT) - 1/90 - 1/30 - 3/5 - 12,945 = ? Sep 30 08:45 UTC (GMT) 21/4,197 + 15/259 = ? Sep 30 08:45 UTC (GMT) - 29/18 + 21/10 = ? Sep 30 08:45 UTC (GMT) 13/14 + 74/5 - 18/5 + 14/9 - 17/3 + 21/6 = ? Sep 30 08:45 UTC (GMT) watch more... Included fractions

There space two cases regarding the denominators once we include ordinary fractions:

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

### A. Just how to add ordinary fountain that have actually like denominators?

Simply add the molecule of the fractions. The denominator the the resulting fraction will it is in the typical denominator that the fractions. Minimize the resulting fraction.

### An example of adding ordinary fountain that have like denominators, v explanations

3/18 + 4/18 + 5/18 = (3 + 4 + 5)/18 = 12/18; us simply included the molecule of the fractions: 3 + 4 + 5 = 12; The denominator that the resulting fraction is: 18; The resulting portion is being reduced: 12/18 = (12 ÷ 6)/(18 ÷ 6) = 2/3.

### B. To add fractions with various denominators (unlike denominators), construct up the fractions to the very same denominator. How is it done?

1. Alleviate the fractions to the lowest state (simplifying). Element the numerator and also the denominator of each fraction down come prime components (prime factorization). Calculate GCF, the greatest usual factor (also called GCD, greatest usual divisor, HCF, greatest typical factor) of every fraction\"s numerator and also denominator. GCF is the product of every the unique common prime factors of the numerator and also the denominator, take away by the lowest exponents. Division the numerator and the denominator of each portion by their greatest typical factor, GCF - after ~ this procedure the portion is diminished to that lowest state equivalent. 2. Calculate the least usual multiple, LCM, of every the fractions\" brand-new denominators: LCM is walk to be the typical denominator that the added fractions. Aspect all the new denominators the the diminished fractions (run the element factorization). The least common multiple, LCM, is the product of every the distinct prime determinants of the denominators, take away by the biggest exponents. 3. Calculate each fraction\"s expanding number: The widening number is the non-zero number that will be used to main point both the numerator and the denominator of each fraction, in bespeak to build all the fractions approximately the same typical denominator. Divide the least common multiple, LCM, calculate above, by every fraction\"s denominator, in order to calculate each fraction\"s widening number. 4. Expand each fraction: Multiply each fraction\"s both numerator and also denominator by broadening number. At this point, fractions are built up to the exact same denominator. 5. Add the fractions: In bespeak to include all the fractions simply add all the fractions\" numerators. The end portion will have actually as a denominator the least common multiple, LCM, calculation above. 6. Alleviate the end fraction to the lowest terms, if needed. ... Check out the remainder of this article, here: exactly how to add ordinary (common) fractions?

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