# Compare and sort in ascending order the two common ordinary fractions, which one is larger: ^{7}/_{36} and ^{1}/_{6}. Common ordinary fractions compared and sorted in ascending order, result explained below

## Compare: ^{7}/_{36} and ^{1}/_{6}

### To compare and sort multiple fractions, they should either have the same denominator or the same numerator.

## The operation of comparing fractions:

^{7}/_{36} and ^{1}/_{6}

### Simplify the operation

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

#### By reducing the values of the numerators and denominators of the fractions, further calculations with these fractions become easier to do.

#### To reduce a fraction to the lowest terms equivalent: divide both the numerator and denominator by their greatest common factor, GCF.

^{7}/_{36} is already reduced to the lowest terms.

The numerator and denominator have no common prime factors:

7 is a prime number.

36 = 2^{2} × 3^{2}

^{1}/_{6} is already reduced to the lowest terms.

The numerator and denominator have no common prime factors:

1 cannot be factored into other prime factors.

6 = 2 × 3

### To compare and sort the fractions, make their numerators the same.

#### Expand the fraction that has 1 as a numerator.

#### Multiply the numerator and denominator by the same number:

^{1}/_{6} = ^{(7 × 1)}/_{(7 × 6)} = ^{7}/_{42}

### The fractions have the same numerator, compare their denominators.

#### The larger the denominator the smaller the positive fraction.

#### The larger the denominator the larger the negative fraction.

## ::: The operation of comparing fractions :::

The final answer:

## The fractions sorted in ascending order:

^{7}/_{42} < ^{7}/_{36}

The initial fractions sorted in ascending order:

^{1}/_{6} < ^{7}/_{36}

#### 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 common ordinary fractions, online calculator: