Compare the Two Common Fractions 40/20 and 46/23, Which One is Larger? Online Calculator

Simplify the operation
Reduce (simplify) the fractions to their lowest terms equivalents:


The fraction: 40/20

  • The prime factorizations of the numerator and denominator:
  • 40 = 23 × 5
  • 20 = 22 × 5
  • Multiply all the common prime factors: if there are repeating prime factors we only take them once, and only the ones having the lowest exponent (the lowest powers).
  • GCF (40; 20) = 22 × 5 = 20

40/20 = (40 ÷ 20)/(20 ÷ 20) = 2/1 = 2


The fraction can also be reduced without calculating GCF; factor the numerator and denominator and cross out all the common prime factors:


40/20 = (23 × 5)/(22 × 5) = ((23 × 5) ÷ (22 × 5))/((22 × 5) ÷ (22 × 5)) = 2/1 = 2



The fraction: 46/23

  • 46 = 2 × 23
  • 23 is a prime number.
  • GCF (46; 23) = 23

46/23 = (46 ÷ 23)/(23 ÷ 23) = 2/1 = 2


The fraction can also be reduced without calculating GCF; factor the numerator and denominator and cross out all the common prime factors:


46/23 = (2 × 23)/23 = ((2 × 23) ÷ 23)/(23 ÷ 23) = 2/1 = 2




The numbers are equal.

This is a simple case of comparing and sorting integer numbers.

The integer numbers are a particular case of those fractions that have a denominator equal to 1.


::: The operation of comparing fractions :::
The final answer:

The integer numbers sorted in ascending order:
2 = 2

The initial fractions sorted in ascending order:
40/20 = 46/23

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 the fractions in ascending order:
46/23 and 49/30

» New. All the Calculations Performed by Our Visitors: Common Fractions Compared and Sorted. Data organized on a Monthly Basis

Compare and sort common fractions, online calculator:

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).

More on ordinary (common) fractions / theory: