Subtract fractions: 11 - 11/12 = ? Subtraction of ordinary (simple, common) fractions, result explained

11 - 11/12 = ?

Reduce (simplify) fractions to their lowest terms equivalents:

To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.

Fraction: - 11/12 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
11 is a prime number;
12 = 22 × 3;
gcf (11; 22 × 3) = 1;

Reduce (simplify) fractions to their simplest form, online calculator


Rewrite the expression:

As a positive improper fraction (numerator >= denominator):

11 - 11/12 =


(11 × 12)/12 - 11/12 =


(11 × 12 - 11)/12 =


121/12

As a mixed number (also called a mixed fraction):

Mixed number = a whole number and a proper fraction, of the same sign.


Proper fraction = numerator smaller than denominator.


121 ÷ 12 = 10 and remainder = 1 =>


121 = 10 × 12 + 1 =>


121/12 =


(10 × 12 + 1)/12 =


(10 × 12)/12 + 1/12 =


10 + 1/12 =


10 1/12

As a decimal number:

10 + 1/12 =


10 + 1 ÷ 12 ≈


10.083333333333 ≈


10.08

As a percentage:

10.083333333333 =


10.083333333333 × 100/100 =


(10.083333333333 × 100)/100 =


1,008.333333333333/100


1,008.333333333333% ≈


1,008.33%

>> Convert fractions to percentages, online calculator


The final answer:
:: written in four ways ::

As a positive improper fraction (numerator >= denominator):
11 - 11/12 = 121/12

As a mixed number (also called a mixed fraction):
11 - 11/12 = 10 1/12

As a decimal number:
11 - 11/12 ≈ 10.08

As a percentage:
11 - 11/12 ≈ 1,008.33%

More operations of this kind:

How to add the ordinary fractions:
22/7 + 13/17


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

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How to: Subtracting ordinary (simple, common) math fractions. Steps.

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

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

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

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


>> Read the rest of this article, here: How to subtract ordinary (common) fractions?

More on ordinary (common) math fractions theory:

(1) What is a fraction? Fractions types. How do they compare?


(2) Fractions changing form, expand and reduce (simplify) fractions


(3) Reducing fractions. The greatest common factor, GCF


(4) How to, comparing two fractions with unlike (different) numerators and denominators


(5) Sorting fractions in ascending order


(6) Adding ordinary (common, simple) fractions


(7) Subtracting ordinary (common, simple) fractions


(8) Multiplying ordinary (common, simple) fractions


(9) Fractions, theory: rational numbers