To build the fractions up to the same numerator we have to:
1) calculate their common numerator
2) then calculate the expanding number of each fraction
3) then build up their numerators the same by expanding the fractions to equivalent forms, which all have equal numerators
Build up the fractions to the same common numerator:
Expand each fraction: multiply both its numerator and denominator by its corresponding expanding number, calculated at the step 2, above.
This way all the fractions will have the same numerator:
31/63 = (17 × 31)/(17 × 63) = 527/1,071
17/33 = (31 × 17)/(31 × 33) = 527/1,023
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:
527/1,071 < 527/1,023
The initial fractions sorted in ascending order:
31/63 < 34/66
How are the numbers being written on our website: comma ',' is used as a thousands separator; point '.' used as a decimal separator; numbers rounded off to max. 12 decimals (if the case). The set of the used symbols on our website: '/' the fraction bar; ÷ dividing; × multiplying; + plus (adding); - minus (subtracting); = equal; ≈ approximately equal.