3/4 - 1/16 = 11/16 = 0.6875; Result written as: a proper fraction and a decimal number. Ordinary (simple, common) math fractions subtracted, subtraction results explained below

Executed (ordinary fractions) operation:
3/4 - 1/16

Reduce (simplify) fractions to their lowest terms equivalents:

Fraction: 3/4 already reduced to lowest terms, numerator and denominator have no common prime factors, their prime factorization:
3 is a prime number and 4 = 22;


Fraction: - 1/16 already reduced to lowest terms, numerator and denominator have no common prime factors, their prime factorization:
1 cannot be prime factorized and 16 = 24;

LCM (lowest common multiple) of the reduced fractions' denominators will be the common denominator of the fractions we work with:

Denominators' prime factorization:


4 = 22;

16 = 24;

For LCM, take all the unique prime factors, by the highest powers:


LCM (4; 16) = 24 = 16

Each fraction's expanding number (divide LCM by each fraction's denominator):

For fraction 3/4 is 16 ÷ 4 = 24 ÷ 22 = 4;


For fraction - 1/16 is 16 ÷ 16 = 1;

Expand fractions to make the denominators the same, then work with numerators:

3/4 - 1/16 =
(4 * 3)/(4 * 4) - (1 * 1)/(1 * 16) =
12/16 - 1/16 =
(12 - 1)/16 =
11/16

Reduce (simplify) fraction to its lowest terms equivalent:

11/16 already reduced to lowest terms, numerator and denominator have no common prime factors, their prime factorization:
11 is a prime number and 16 = 24;

Rewrite result:

11 ÷ 16 = 0.6875 as a decimal number.

Final answer:
:: written in two ways ::

As a proper fraction:
3/4 - 1/16 = 11/16

As a decimal number:
3/4 - 1/16 = 0.6875

Writing numbers: point '.' used as a decimal mark;

Symbols: / fraction line; ÷ divide; * multiply; - minus; = equal;

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