Compare and sort in ascending order the two common ordinary fractions, which one is larger: 28/100 and 34/102. Common ordinary fractions compared and sorted in ascending order, result explained below
Compare: 28/100 and 34/102
To compare and sort multiple fractions, they should either have the same denominator or the same numerator.
The operation of comparing fractions:
28/100 and 34/102
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.
28/100 = (22 × 7)/(22 × 52) = ((22 × 7) ÷ 22)/((22 × 52) ÷ 22) = 7/25
34/102 = (2 × 17)/(2 × 3 × 17) = ((2 × 17) ÷ (2 × 17))/((2 × 3 × 17) ÷ (2 × 17)) = 1/3
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:
1/3 = (7 × 1)/(7 × 3) = 7/21
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:
7/25 < 7/21
The initial fractions sorted in ascending order:
28/100 < 34/102
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: