2/5 - 3/10 = 1/10 = 0.1; Result written as: a proper fraction and a decimal number. Ordinary (simple, common) math fractions subtracted, subtraction results explained below

Executed (ordinary fractions) operation:
2/5 - 3/10

Reduce (simplify) fractions to their lowest terms equivalents:

Fraction: 2/5 already reduced to lowest terms, numerator and denominator have no common prime factors, their prime factorization:
2 is a prime number and 5 is a prime number;


Fraction: - 3/10 already reduced to lowest terms, numerator and denominator have no common prime factors, their prime factorization:
3 is a prime number and 10 = 2 * 5;

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

Denominators' prime factorization:


5 is a prime number;

10 = 2 * 5;

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


LCM (5; 10) = 2 * 5 = 10

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

For fraction 2/5 is 10 ÷ 5 = (2 * 5) ÷ 5 = 2;


For fraction - 3/10 is 10 ÷ 10 = 1;

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

2/5 - 3/10 =
(2 * 2)/(2 * 5) - (1 * 3)/(1 * 10) =
4/10 - 3/10 =
(4 - 3)/10 =
1/10

Reduce (simplify) fraction to its lowest terms equivalent:

1/10 already reduced to lowest terms, numerator and denominator have no common prime factors, their prime factorization:
1 cannot be prime factorized and 10 = 2 * 5;

Rewrite result:

1 ÷ 10 = 0.1 as a decimal number.

Final answer:
:: written in two ways ::

As a proper fraction:
2/5 - 3/10 = 1/10

As a decimal number:
2/5 - 3/10 = 0.1

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

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

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