Compare and sort in ascending order the two common ordinary fractions, which one is larger: - 1/1,000 and - 7/1,005. Common ordinary fractions compared and sorted in ascending order, result explained below
Compare: - 1/1,000 and - 7/1,005
To compare and sort multiple fractions, they should either have the same denominator or the same numerator.
The operation of comparing fractions:
- 1/1,000 and - 7/1,005
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.
- 1/1,000 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors:
1 cannot be factored into other prime factors.
1,000 = 23 × 53
- 7/1,005 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors:
7 is a prime number.
1,005 = 3 × 5 × 67
To compare and sort the fractions, make their numerators the same.
Expand the fraction that has 1 as a numerator.
Multiply the numerator and denominator by the same number:
- 1/1,000 = - (7 × 1)/(7 × 1,000) = - 7/7,000
The fractions have the same numerator, compare their denominators.
The larger the denominator the larger the negative fraction.
The larger the denominator the smaller the positive fraction.
::: The operation of comparing fractions :::
The final answer:
The fractions sorted in ascending order:
- 7/1,005 < - 7/7,000
The initial fractions sorted in ascending order:
- 7/1,005 < - 1/1,000
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: