Compare and sort the fractions in ascending order: 36, - 1/8, 36, - 7/16. Common ordinary fractions compared and sorted in ascending order, result explained below
Sort: 36, - 1/8, 36, - 7/16
To compare and sort multiple fractions, they should either have the same denominator or the same numerator.
The operation of sorting fractions in ascending order:
36, - 1/8, 36, - 7/16
Analyze the fractions to be compared and ordered, by category:
negative proper fractions: - 1/8, - 7/16
1 positive integer number: 36
How to compare and sort the fractions in ascending order, by categories:
- any negative proper fraction is smaller than...
- any positive integer number.
Sort the negative proper fractions in ascending order:
- 1/8 and - 7/16
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:
- 1/8 = - (7 × 1)/(7 × 8) = - 7/56
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 fractions sorted in ascending order:
- 7/16 < - 7/56
The initial fractions sorted in ascending order:
- 7/16 < - 1/8
::: The operation of comparing fractions :::
The final answer:
Sort the negative proper fractions in ascending order:
- 7/16 < - 1/8
All the fractions sorted in ascending order:
- 7/16 < - 1/8 < 36 = 36
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: