Menu Compare and sort in ascending order the two ordinary fractions, which one is larger: ^{13} /_{5} vs. ^{13} /_{6} . Ordinary fractions compared and sorted in ascending order, result explained below

The operation of comparing fractions: ^{13} /_{5} vs. ^{13} /_{6} The fractions have the same numerator, compare their denominators. The larger the denominator the smaller the positive fraction. The fractions sorted in ascending order: ^{13} /_{6} < ^{13} /_{5}

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).
To compare them, fractions should be built up to the same denominator (or if it's easier, to the same numerator). More on ordinary (common) math fractions theory: