Compare and sort in ascending order the two ordinary fractions, which one is larger: 5/10 vs. 50/100. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of comparing fractions:
5/10 vs. 50/100

Reduce (simplify) fractions to their lowest terms equivalents:

5/10 = 5/(2 × 5) = (5 ÷ 5)/((2 × 5) ÷ 5) = 1/2;


50/100 = (2 × 52)/(22 × 52) = ((2 × 52) ÷ (2 × 52))/((22 × 52) ÷ (2 × 52)) = 1/2;


Reduce (simplify) fractions to their simplest form, online calculator


The fractions are equal.

::: Comparing operation :::
The final answer:

The fractions sorted in ascending order:
1/2 = 1/2

The initial fractions in ascending order:
5/10 = 50/100

Compare and sort the fractions in ascending order:
50/100 vs. 57/110


Symbols: / fraction bar; ÷ divide; × multiply; + plus; - minus; = equal; < less than;

Compare and sort ordinary fractions, online calculator

The latest fractions compared and sorted in ascending order

Tutoring: Comparing ordinary fractions

How to compare two fractions?

1. Fractions that have different signs:

  • Any positive fraction is larger than any negative fraction:
  • ie: 4/25 > - 19/2

2. A proper and an improper fraction:

  • Any positive improper fraction is larger than any positive proper fraction:
  • ie: 44/25 > 1 > 19/200
  • Any negative improper fraction is smaller than any negative proper fraction:
  • ie: - 44/25 < -1 < - 19/200

3. Fractions that have both like numerators and denominators:

  • The fractions are equal:
  • ie: 89/50 = 89/50

4. Fractions that have unlike (different) numerators but like (equal) denominators.

  • Positive fractions: compare the numerators, the larger fraction is the one with the larger numerator:
  • ie: 24/25 > 19/25
  • Negative fractions: compare the numerators, the larger fraction is the one with the smaller numerator:
  • ie: - 19/25 < - 17/25

5. Fractions that have unlike (different) denominators but like (equal) numerators.

  • Positive fractions: compare the denominators, the larger fraction is the one with the smaller denominator:
  • ie: 24/25 > 24/26
  • Negative fractions: compare the denominators, the larger fraction is the one with the larger denominator:
  • ie: - 17/25 < - 17/29

6. Fractions that have different denominators and numerators (unlike denominators and numerators).

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