Language menu Subtract fractions: 7/8 - 1/2 = ? subtraction of ordinary (simple, common) fractions, result explained

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

To alleviate a fraction: division the numerator and denominator by your greatest usual factor, GCF.
Fraction: 7/8 already reduced come the shortest terms. The numerator and denominator have no typical prime factors. Your prime factorization: 7 is a element number; 8 = 23; gcf (7; 23) = 1;
minimize (simplify) fractions to their simplest form, online calculator

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

### Calculate LCM, the least typical multiple of the platform of the fractions:

LCM will be the typical denominator that the fractions that we occupational with.
The prime factorization that the denominators: 8 = 23; 2 is a element number; Multiply every the unique prime factors, by the biggest exponents: LCM (8; 2) = 23 = 8
Divide LCM by the numerator of every fraction. Because that fraction: 7/8 is 8 ÷ 8 = 1; because that fraction: - 1/2 is 8 ÷ 2 = 23 ÷ 2 = 4;
Expand each portion - main point the numerator and denominator through the expanding number. Then job-related with the molecule of the fractions.
7/8 - 1/2 = (1 × 7)/(1 × 8) - (4 × 1)/(4 × 2) = 7/8 - 4/8 = (7 - 4)/8 = 3/8

### Reduce (simplify) the fraction to that lowest terms equivalent:

To alleviate a fraction: division the numerator and denominator by their greatest typical factor, GCF.
3/8 currently reduced to the lowest terms. The numerator and also denominator have no usual prime factors. Your prime factorization: 3 is a element number; 8 = 23; gcf (3; 23) = 1;
reduce (simplify) fountain to their easiest form, virtual calculator

## As a percentage: 7/8 - 1/2 = 37.5%

### how to subtract the simple fractions: - 13/17 + 3/11

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

## Subtract plain fractions, digital calculator

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

## The recent subtracted fractions

 7/8 - 1/2 = ? Oct 03 22:25 UTC (GMT) - 1 + 1/4 - 7/18 = ? Oct 03 22:25 UTC (GMT) - 21/45 - 24/48 - 20/63 = ? Oct 03 22:25 UTC (GMT) - 16/41 - 17/32 = ? Oct 03 22:25 UTC (GMT) - 7,711/1,393 + 22,064/26 = ? Oct 03 22:25 UTC (GMT) 7/8 - 1/2 = ? Oct 03 22:25 UTC (GMT) - 41/3,565 - 59/19 = ? Oct 03 22:25 UTC (GMT) 14/10 + 7/25 = ? Oct 03 22:25 UTC (GMT) 11/15 - 7/6 = ? Oct 03 22:25 UTC (GMT) 1,068/336 - 68/23 = ? Oct 03 22:25 UTC (GMT) 31/241 + 6 = ? Oct 03 22:25 UTC (GMT) 25/23 + 48/75 = ? Oct 03 22:25 UTC (GMT) 50/63 - 46/50 = ? Oct 03 22:25 UTC (GMT) view more... Subtracted fractions

There space two cases concerning the denominators as soon as we subtract ordinary fractions:

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

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

Simply subtract the numerators of the fractions. The denominator of the resulting fraction will be the typical denominator that the fractions. Minimize the resulting fraction.

### An instance of subtracting plain fractions that have like denominators, v 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 of the resulting portion is: 18; The resulting portion is being lessened as: 2/18 = (2 ÷ 2)/(18 ÷ 2) = 1/9.

### B. To subtract fountain with different denominators (unlike denominators), construct up the fountain to the exact same denominator. Exactly how is it done?

1. Minimize the fountain to the lowest state (simplify them). Element the numerator and also the denominator of every fraction, break them under to prime factors (run their prime factorization). Calculation GCF, the greatest usual factor of the numerator and also of the denominator of every fraction. GCF is the product of all the unique usual prime factors of the numerator and also of the denominator, multiply by the lowest exponents. Division the numerator and the denominator that each portion by their GCF - after ~ this operation the portion is decreased to the lowest state equivalent. 2. Calculate the least typical multiple, LCM, of every the fractions" brand-new denominators: LCM is walk to it is in the common denominator that the added fractions, likewise called the lowest usual denominator (the least usual denominator). Element all the brand-new denominators of the lessened fractions (run the prime factorization). The least usual multiple, LCM, is the product of all the distinct prime components of the denominators, multiplied by the largest exponents. 3. Calculate each fraction"s broadening number: The broadening number is the non-zero number that will be offered to multiply both the numerator and the denominator of each fraction, in order to develop all the fractions as much as the same typical denominator. Divide the least typical multiple, LCM, calculation above, through the denominator of each fraction, in stimulate to calculate each fraction"s broadening number. 4. Increase each fraction: Multiply every fraction"s both numerator and also denominator by the expanding number. At this point, fountain are built up to the exact same denominator. 5. Subtract the fractions: In order come subtract all the fractions just subtract all the fractions" numerators. The end portion will have actually as a denominator the least usual multiple, LCM, calculated above. 6. Alleviate the end fraction to the lowest terms, if needed. ... Check out the remainder of this article, here: exactly how to subtract ordinary (common) fractions?

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