Compare and sort in ascending order the two common ordinary fractions, which one is larger: 440/5 and 446/13. Common ordinary fractions compared and sorted in ascending order, result explained below
Compare: 440/5 and 446/13
To compare and sort multiple fractions, they should either have the same denominator or the same numerator.
The operation of comparing fractions:
440/5 and 446/13
Simplify the operation
Reduce (simplify) the fractions to their lowest terms equivalents:
By reducing the values of the numerators and denominators of the fractions, further calculations with these fractions become easier to do.
To reduce a fraction to the lowest terms equivalent: divide both the numerator and denominator by their greatest common factor, GCF.
440/5 = (23 × 5 × 11)/5 = ((23 × 5 × 11) ÷ 5)/(5 ÷ 5) = 88/1 = 88
446/13 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors:
446 = 2 × 223
13 is a prime number.
To compare and sort the fractions, make their denominators the same.
Expand the fraction that has 1 as a denominator.
Multiply the numerator and denominator by the same number:
88 = (13 × 88)/(13 × 1) = 1,144/13
The fractions have the same denominator, compare their numerators.
The larger the numerator the larger the positive fraction.
The larger the numerator the smaller the negative fraction.
::: The operation of comparing fractions :::
The final answer:
The fractions sorted in ascending order:
446/13 < 1,144/13
The initial fractions sorted in ascending order:
446/13 < 440/5
How are the numbers written: comma ',' used as a thousands separator; point '.' as a decimal separator; numbers rounded off to max. 12 decimals (if the case). Used symbols: '/' the fraction bar; ÷ dividing; × multiplying; + plus (adding); - minus (subtracting); = equal; ≈ approximately equal.
Other similar operations
Compare and sort common ordinary fractions, online calculator: