compare two fractions

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Compare two fractions : How to use it?

The calculator allows to compare two fractions, indicating the steps of the calculations.

Syntax :

compare_fractions(fraction1;fraction2), where fraction1 and fraction 2 are the fractions to compare, the result is returned in the form of equality or inequality.

Examples :

compare_fractions(4/5;3/7) returns : `4/5>3/7`
compare_fractions(0.5;4/7) returns : `0.5<4/7`

Fraction comparator

The compare_fractions function allows to compare fractions, indicating the steps to reach the result.

To compare fractions between them, the calculator uses the following methods and rules.

Fractions compared with the same numerator

To compare two fractions with the same numerator, comparing the denominators, the largest fraction is the one with the lowest denominator.

To compare two fractions with the same numerator such as the following : `4/5` et `4/9`, enter compare_fractions(4/5;4/9).

Comparing fractions `4/5` and `4/9`

The numerator of the two fractions is identical, it is equal to 4.
Comparing the denominators. The largest fraction is the one with the lowest denominator.
`5`<`9`
`4/5` has the smallest denominator is the larger fraction.
`4/5>4/9`

Fractions compared with the same denominator

To compare two fractions with the same denominator, we compare numerators, the largest fraction is the one with the largest numerator.

To compare two fractions with the same denominator such as the following : `3/4` et `7/4`, enter compare_fractions(3/4;7/4).

Comparing fractions `3/4` and `7/4`

The denominator of the two fractions is identical, it is equal to 4.
We compare the numerators. The largest fraction is the one with the largest numerator.
`3`<`7`
`3/4` has the smallest numerator, so the smallest fraction.
`3/4`<`7/4`

Fractions comparison

To compare fractions, when the numerators are different and denominators are also different, the calculator reduces fractions to the same denominator then comparing numerators.

To compare 2 fractions with different numerators and different denominators such as those that follow : `19/11` et `13/7`, enter compare_fractions(19/11;13/7).

Comparing fractions `19/11` and `13/7`

Reduce the two fractions to the same denominator.
The common denominator is 77.
Equivalent fractions are `133/77` and `143/77`.
Comparing the numerators of equivalent fractions. The largest fraction is the one with the largest numerator.
`133<143`
`133/77` has the smallest numerator, so the smallest fraction.
`133/77`<`143/77`
`19/11`<`13/7`

Quizzes and games on fraction comparisons

The site also offers quizzes and games on fractions and their comparisons , which allow to practice fractional calculation.