- 10/13 - 5/13 = ? Subtracting ordinary (common) fractions, online calculator, subtraction operation explained step by step. The answer, written in four ways. As a negative improper fraction (the numerator >= the denominator). As a mixed number. As a decimal number. As a percentage.
- 10/13 - 5/13 = ?
Perform the operation of calculating the fractions
All the fractions have equal denominators (the same denominator):
This is the simplest and happiest case when we add or subtract fractions.
We work only with their numerators and keep the common denominator.
- 10/13 - 5/13 =
( - 10 - 5)/13 =
- 15/13
Fully reduce (simplify) the fraction to its lowest terms equivalent:
To fully reduce a fraction, to the lowest terms equivalent: divide the numerator and denominator by their greatest common factor, GCF.
A fully reduced (simplified) fraction is one with the smallest possible numerator and denominator, one that can no longer be reduced, and it is called an irreducible fraction.
- 15/13 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
A mixed number: a whole number and a proper fraction, both having the same sign.
A proper fraction: the value of the numerator is smaller than the value of the denominator.
Divide the numerator by the denominator and write down the quotient and the remainder of the division, as shown below:
- 15 ÷ 13 = - 1 and the remainder = - 2 =>
- 15 = - 1 × 13 - 2 =>
- 15/13 =
( - 1 × 13 - 2)/13 =
- 1 - 2/13 =
- 1 2/13
As a decimal number:
Simply divide the numerator by the denominator, without a remainder, as shown below:
- 1 - 2/13 =
- 1 - 2 ÷ 13 ≈
- 1.153846153846 ≈
- 1.15
As a percentage:
A percentage value p% is equal to the fraction: p/100, for any decimal number p. So, we need to change the form of the number calculated above, to show a denominator of 100.
To do that, multiply the number by the fraction 100/100.
The value of the fraction 100/100 = 1, so by multiplying the number by this fraction the result is not changing, only the form.
As a negative improper fraction: (the numerator >= the denominator) - 10/13 - 5/13 = - 15/13
As a mixed number (also called a mixed fraction): - 10/13 - 5/13 = - 1 2/13
As a decimal number: - 10/13 - 5/13 ≈ - 1.15
As a percentage: - 10/13 - 5/13 ≈ - 115.38%
How are the numbers being written on our website: comma ',' is used as a thousands separator; point '.' used as a decimal separator; numbers rounded off to max. 12 decimals (if the case). The set of the used symbols on our website: '/' the fraction bar; ÷ dividing; × multiplying; + plus (adding); - minus (subtracting); = equal; ≈ approximately equal.
Fractions subtractions: the latest fractions subtracted by the users
The expanding number is the non-zero number that will be used to multiply both the numerator and the denominator of each fraction, in order to build all the fractions up to 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 the same denominator.
5. Subtract the fractions:
In order to subtract all the fractions simply subtract all the fractions\' numerators.
The end fraction will have as a denominator the least common multiple, LCM, calculated above.
6. Reduce the end fraction to the lowest terms, if needed.