Compare the Two Common Fractions 13/64 and 1/4, Which One is Larger? Online Calculator
Fractions 13/64 and 1/4 are compared by building equivalent fractions, which have either equal denominators or equal numerators
To compare and sort multiple fractions, they should either have the same denominator or the same numerator.
The operation of comparing fractions:
13/64 and 1/4
Simplify the operation
Reduce (simplify) the fractions to their lowest terms equivalents:
To reduce a fraction to the lowest terms equivalent: divide both the numerator and denominator by their greatest common factor, GCF.
13/64 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors:
13 is a prime number.
64 = 26
1/4 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors:
1 cannot be factored into other prime factors.
4 = 22
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:
1/4 = (13 × 1)/(13 × 4) = 13/52
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:
13/64 < 13/52
The initial fractions sorted in ascending order:
13/64 < 1/4
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.
Compare and sort common fractions, online calculator: