Compare and sort in ascending order the two common ordinary fractions, which one is larger: - 83/131 and - 88/136. Common ordinary fractions compared and sorted in ascending order, result explained below
Compare: - 83/131 and - 88/136
To compare and sort multiple fractions, they should either have the same denominator or the same numerator.
The operation of comparing fractions: - 83/131 and - 88/136
Simplify the operation Reduce (simplify) the fractions to their lowest terms equivalents:
- 83/131 is already reduced to the lowest terms. The numerator and denominator have no common prime factors: 83 is a prime number. 131 is a prime number.
Build up the fractions to the same common numerator:
Expand each fraction: multiply both its numerator and denominator by its corresponding expanding number, calculated at the step 2, above.
This way all the fractions will have the same numerator:
- 83/131 = - (11 × 83)/(11 × 131) = - 913/1,441
- 11/17 = - (83 × 11)/(83 × 17) = - 913/1,411
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: - 913/1,411 < - 913/1,441
The initial fractions sorted in ascending order: - 88/136 < - 83/131
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