Interpret a two-part ratio a:b as the fraction a/b and reduce it to lowest terms. A checkable formula accompanies reduced fraction instead of leaving an unexplained number.
A ratio a:b can be written a/b when the first term is compared directly with the second. Reduction removes common scale without changing that comparison.
This definition sets the boundary between ratio to fraction and a neighboring calculation with similar inputs.
Place the first term over the second and divide both by their GCF. One useful next step from Ratio to Fraction is lowest terms.
The ratio 6:16 becomes 6/16, which reduces by a common factor of 2 to 3/8.
Part-to-part comparisons, scale drawings, mixtures, and rates often move between colon and fraction notation. A related application of Ratio to Fraction is percentage ratio.
The second ratio term cannot be zero for fraction form. A part-to-whole fraction instead uses a/(a+b), so identify the wording before converting. If the Ratio to Fraction assumptions do not fit, consider decimal ratio.
Changing only one field provides a direct Ratio to Fraction sensitivity check for ratio to fraction.
A field name is part of the formula. Match the problem's quantities to first ratio term and second ratio term, then check that they share the scale assumed by the ratio to fraction relationship.
Scaling both ratio terms equally leaves the reduced fraction unchanged. This is a stronger check than judging the answer only by how many decimal places it shows.
Match the reported precision to first ratio term and second ratio term, not to the number of digits the browser can display. Preserve an exact form when it communicates the ratio to fraction structure more clearly than a decimal.
Ratio notation emphasizes comparison; fraction notation can also describe part of one whole. The formula panel makes the chosen definition explicit.
The minimum audit trail is short: first ratio term and second ratio term, their units, and the formula beside the answer. It is enough to distinguish this calculation from a similar-looking shortcut.
For a 3:2 mixture, the direct ratio of first to second is 3/2. The first ingredient’s share of the combined mixture is instead 3/(3+2), or 3/5. The original wording determines which denominator belongs in the answer.
No. Direct conversion gives a/b; part-to-whole uses a/(a+b).
Yes, by dividing both terms by the same nonzero factor.
It would create division by zero.