Compare and sort in ascending order the two common ordinary fractions, which one is larger: ^{550}/_{1,450} and ^{553}/_{1,456}. Common ordinary fractions compared and sorted in ascending order, result explained below

Compare: ^{550}/_{1,450} and ^{553}/_{1,456}

To compare and sort multiple fractions, they should either have the same denominator or the same numerator.

The operation of comparing fractions: ^{550}/_{1,450} and ^{553}/_{1,456}

Simplify the operation Reduce (simplify) the fractions to their lowest terms equivalents:

To compare and sort the fractions, build them up to the same numerator.

To build the fractions up to the same numerator we have to:

1) calculate their common numerator

2) then calculate the expanding number of each fraction

3) then build up their numerators the same by expanding the fractions to equivalent forms, which all have equal numerators

Calculate the common numerator

The common numerator is nothing else than the least common multiple (LCM) of the numerators of the fractions.

The LCM will be the common numerator of the compared fractions.

To calculate the LCM, we need the prime factorization of the numerators:

11 is a prime number.

79 is a prime number.

Multiply all the unique prime factors: if there are repeating prime factors we only take them once, and only the ones having the highest exponent (the highest powers).

The fractions have the same numerator, compare their denominators.

The larger the denominator the smaller the positive fraction.

The larger the denominator the larger the negative fraction.

::: The operation of comparing fractions ::: The final answer:

The fractions sorted in ascending order: ^{869}/_{2,291} < ^{869}/_{2,288}

The initial fractions sorted in ascending order: ^{550}/_{1,450} < ^{553}/_{1,456}

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.

The latest common ordinary fractions compared and sorted in ascending order