Compare and sort in ascending order the two common ordinary fractions, which one is larger: 48/221 and 56/224. Common ordinary fractions compared and sorted in ascending order, result explained below
Compare: 48/221 and 56/224
To compare and sort multiple fractions, they should either have the same denominator or the same numerator.
The operation of comparing fractions:
48/221 and 56/224
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.
48/221 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors:
48 = 24 × 3
221 = 13 × 17
56/224 = (23 × 7)/(25 × 7) = ((23 × 7) ÷ (23 × 7))/((25 × 7) ÷ (23 × 7)) = 1/4
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 = (48 × 1)/(48 × 4) = 48/192
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:
48/221 < 48/192
The initial fractions sorted in ascending order:
48/221 < 56/224
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: