Language Menu Subtract fractions: 7/8 - 1/4 = ? Subtraction of plain (basic, common) fractions, result described

You are watching: 7/8 + 1/4

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

To minimize a fraction: divide the numerator and also denominator by their best widespread element, GCF.
Fraction: 7/8 currently diminished to the lowest terms. The numerator and also denominator have no widespread prime determinants. Their prime factorization: 7 is a prime number; 8 = 23; gcf (7; 23) = 1;
Reduce (simplify) fractions to their easiest create, digital calculator

## To run fractions, construct up their denominators the exact same.

### Calculate LCM, the leastern prevalent multiple of the denominators of the fractions:

LCM will certainly be the prevalent denominator of the fractions that we job-related with.
The prime factorization of the denominators: 8 = 23; 4 = 22; Multiply all the distinctive prime components, by the biggest exponents: LCM (8; 4) = 23 = 8
Divide LCM by the numerator of each fraction. For fraction: 7/8 is 8 ÷ 8 = 1; For fraction: - 1/4 is 8 ÷ 4 = 23 ÷ 22 = 2;
Expand also each fraction - multiply the numerator and denominator by the broadening number. Then job-related through the numerators of the fractions.
7/8 - 1/4 = (1 × 7)/(1 × 8) - (2 × 1)/(2 × 4) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

### Reduce (simplify) the fractivity to its lowest terms equivalent:

To mitigate a fraction: divide the numerator and denominator by their greatest prevalent variable, GCF.
5/8 currently lessened to the lowest terms. The numerator and also denominator have actually no prevalent prime determinants. Their prime factorization: 5 is a prime number; 8 = 23; gcf (5; 23) = 1;
Reduce (simplify) fractions to their most basic develop, online calculator

## As a percentage: 7/8 - 1/4 = 62.5%

### How to subtract the simple fractions: - 14/14 - 9/12

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

## Subtract plain fractions, digital calculator

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

## The latest subtracted fractions

 7/8 - 1/4 = ? Nov 24 16:19 UTC (GMT) 7/13 - 5/13 = ? Nov 24 16:19 UTC (GMT) 6 + 7/8 - 1 + 13/16 = ? Nov 24 16:19 UTC (GMT) - 47/28 + 30/43 = ? Nov 24 16:19 UTC (GMT) 23/3 + 25/40 = ? Nov 24 16:18 UTC (GMT) - 32/67 + 30/44 = ? Nov 24 16:18 UTC (GMT) 7/8 - 1/4 = ? Nov 24 16:18 UTC (GMT) 11/20 - 3/8 = ? Nov 24 16:18 UTC (GMT) 51/8 - 40/16 = ? Nov 24 16:18 UTC (GMT) - 143/71,575 + 51/630,536 = ? Nov 24 16:18 UTC (GMT) - 156/4 + 6/57 = ? Nov 24 16:18 UTC (GMT) - 38/24 + 29/36 - 33/22 = ? Nov 24 16:18 UTC (GMT) - 26/55 + 24/35 = ? Nov 24 16:18 UTC (GMT) watch even more... subtracted fractions

Tbelow are two instances regarding the denominators as soon as we subtract simple fractions:

A. the fractions have favor denominators; B. the fractions have unfavor denominators.

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

Sindicate subtract the numerators of the fractions. The denominator of the resulting fractivity will be the prevalent denominator of the fractions. Reduce the resulting fractivity.

### An instance of subtracting simple fractions that have like denominators, with explacountries

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

### B. To subtract fractions with different denominators (unchoose denominators), build up the fractions to the very same denominator. How is it done?

1. Reduce the fractions to the lowest terms (simplify them). Factor the numerator and the denominator of each fraction, break them down to prime determinants (run their prime factorization). Calculate GCF, the best prevalent variable of the numerator and also of the denominator of each fraction. GCF is the product of all the distinctive widespread prime factors of the numerator and also of the denominator, multiplied by the lowest exponents. Divide the numerator and the denominator of each fractivity by their GCF - after this operation the fractivity is lessened to its lowest terms indistinguishable. 2. Calculate the least widespread multiple, LCM, of all the fractions" brand-new denominators: LCM is going to be the widespread denominator of the added fractions, likewise referred to as the lowest widespread denominator (the least prevalent denominator). Factor all the new denominators of the reduced fractions (run the prime factorization). The leastern prevalent multiple, LCM, is the product of all the unique prime factors of the denominators, multiplied by the biggest exponents. 3. Calculate each fraction"s expanding number: The widening number is the non-zero number that will be offered to multiply both the numerator and the denominator of each fractivity, in order to build all the fractions as much as the exact same widespread denominator. Divide the leastern widespread multiple, LCM, calculated above, by the denominator of each fraction, in order to calculate each fraction"s expanding number. 4. Expand also each fraction: Multiply each fraction"s both numerator and denominator by the widening number. At this allude, fractions are collected to the exact same denominator. 5. Subtract the fractions: In order to subtract all the fractions simply subtract all the fractions" numerators. The finish fraction will certainly have as a denominator the least common multiple, LCM, calculated over. 6. Reduce the finish fraction to the lowest terms, if required. ... Read the rest of this post, here: How to subtract ordinary (common) fractions?

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