Subtract 5/7 from 6/7
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Subtract fractions: 5/6 - 5/7 = ? Subtraction of ordinary (simple, common) fractions, result explained
The executed operation (with ordinary fractions):
5/6 - 5/7
Result written: As a positive proper fraction (numerator < denominator). As a decimal number. As a percentage.
Reduce (simplify) fractions to their lowest terms equivalents:
To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.
Fraction: 5/6 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
5 is a prime number;
6 = 2 × 3;
gcf (5; 2 × 3) = 1;
Fraction: - 5/7 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
5 is a prime number;
7 is a prime number;
gcf (5; 7) = 1;
Reduce (simplify) fractions to 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;
7 is a prime number;
Multiply all the unique prime factors, by the largest exponents:
LCM (6; 7) = 2 × 3 × 7 = 42
Calculate LCM, the least common multiple, online calculator
Calculate the expanding number of each fraction:
Divide LCM by the numerator of each fraction.
For fraction: 5/6 is 42 ÷ 6 = (2 × 3 × 7) ÷ (2 × 3) = 7;
For fraction: - 5/7 is 42 ÷ 7 = (2 × 3 × 7) ÷ 7 = 6;
Build up the fractions to the same denominator:
Expand each fraction - multiply the numerator and denominator by the expanding number.
Then work with the numerators of the fractions.
5/6 - 5/7 =
(7 × 5)/(7 × 6) - (6 × 5)/(6 × 7) =
35/42 - 30/42 =
(35 - 30)/42 =
5/42
Reduce (simplify) the fraction to its lowest terms equivalent:
To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.
5/42 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
5 is a prime number;
42 = 2 × 3 × 7;
gcf (5; 2 × 3 × 7) = 1;
Reduce (simplify) fractions to their simplest form, online calculator
Rewrite the fraction
As a decimal number:
5/42 =
5 ÷ 42 ≈
0.119047619048 ≈
0.12
As a percentage:
0.119047619048 =
0.119047619048 × 100/100 =
(0.119047619048 × 100)/100 =
11.904761904762/100 ≈
11.904761904762% ≈
11.9%
>> Convert fractions to percentages, online calculator
The final answer:
:: written in three ways ::
As a positive proper fraction (numerator < denominator):
5/6 - 5/7 = 5/42
As a decimal number:
5/6 - 5/7 ≈ 0.12
As a percentage:
5/6 - 5/7 ≈ 11.9%
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