Language thực đơn Subtract fractions: 5/6 - 2/3 = ? Subtraction of ordinary (simple, common) fractions, result explained

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### Reduce (simplify) fractions to lớn their lowest terms equivalents:

To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.
Fraction: 5/6 already reduced lớn the lowest terms. The numerator và denominator have no common prime factors. Their prime factorization: 5 is a prime number; 6 = 2 × 3; gcf (5; 2 × 3) = 1; Fraction: - 2/3 already reduced to the lowest terms. The numerator & denominator have no common prime factors. Their prime factorization: 2 is a prime number; 3 is a prime number; gcf (2; 3) = 1;
Reduce (simplify) fractions khổng lồ their simplest form, online calculator

## To operate fractions, build up their denominators the same.

### Calculate LCM, the least common multiple of the denominators of the fractions:

LCM will be the common denominator of the fractions that we work with.
The prime factorization of the denominators: 6 = 2 × 3; 3 is a prime number; Multiply all the unique prime factors, by the largest exponents: LCM (6; 3) = 2 × 3 = 6
Divide LCM by the numerator of each fraction. For fraction: 5/6 is 6 ÷ 6 = 1; For fraction: - 2/3 is 6 ÷ 3 = (2 × 3) ÷ 3 = 2;
Expand each fraction - multiply the numerator và denominator by the expanding number. Then work with the numerators of the fractions.
5/6 - 2/3 = (1 × 5)/(1 × 6) - (2 × 2)/(2 × 3) = 5/6 - 4/6 = (5 - 4)/6 = 1/6
0.166666666667 = 0.166666666667 × 100/100 = (0.166666666667 × 100)/100 = 16.666666666667/100 ≈ 16.666666666667% ≈ 16.67%

## As a percentage: 5/6 - 2/3 ≈ 16.67%

### How to địa chỉ the ordinary fractions: 12/11 + 9/13

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

## Subtract ordinary fractions, online calculator

Enter ordinary fractions to lớn subtract, ie: 6/9 - 8/36 - 12/-90 + 5/20:

## The latest subtracted fractions

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There are two cases regarding the denominators when we subtract ordinary fractions:

A. The fractions have lượt thích denominators; B. The fractions have unlike denominators.

### A. How khổng lồ subtract ordinary fractions that have like denominators?

Simply subtract the numerators of the fractions. The denominator of the resulting fraction will be the common denominator of the fractions. Reduce the resulting fraction.

### An example of subtracting ordinary fractions that have like denominators, with explanations

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

### B. Khổng lồ subtract fractions with different denominators (unlike denominators), build up the fractions to lớn the same denominator. How is it done?

1. Reduce the fractions to lớn the lowest terms (simplify them). Factor the numerator & the denominator of each fraction, break them down to prime factors (run their prime factorization). Calculate GCF, the greatest common factor of the numerator và of the denominator of each fraction. GCF is the product of all the chất lượng common prime factors of the numerator and of the denominator, multiplied by the lowest exponents. Divide the numerator và the denominator of each fraction by their GCF - after this operation the fraction is reduced to lớn its lowest terms equivalent. 2. Calculate the least common multiple, LCM, of all the fractions" new denominators: LCM is going lớn be the common denominator of the added fractions, also called the lowest common denominator (the least common denominator). Factor all the new denominators of the reduced fractions (run the prime factorization). The least common multiple, LCM, is the sản phẩm of all the unique prime factors of the denominators, multiplied by the largest exponents. 3. Calculate each fraction"s expanding number: The expanding number is the non-zero number that will be used to lớn multiply both the numerator và the denominator of each fraction, in order khổng lồ build all the fractions up lớn the same common denominator. Divide the least common multiple, LCM, calculated above, by the denominator of each fraction, in order to calculate each fraction"s expanding number. 4. Expand each fraction: Multiply each fraction"s both numerator and denominator by the expanding number. At this point, fractions are built up to lớn the same denominator. 5. Subtract the fractions: In order to subtract all the fractions simply subtract all the fractions" numerators. The kết thúc fraction will have as a denominator the least common multiple, LCM, calculated above. 6. Reduce the over fraction to the lowest terms, if needed. ... Read the rest of this article, here: How to subtract ordinary (common) fractions?

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