Final answer:
To determine which ratio is greater, convert the ratios into fractions and compare the fractions using cross-multiplication.
Step-by-step explanation:
To determine which ratio is greater, we need to compare the two ratios by finding their equivalent fractions with the same denominator. For 6:8, the equivalent fraction is 3/4, and for 12:22, the equivalent fraction is 6/11.
To compare the fractions, we can use cross-multiplication. Multiply 3 (numerator of 3/4) by 11 (denominator of 6/11) to get 33, and multiply 4 (denominator of 3/4) by 6 (numerator of 6/11) to get 24. Since 33 > 24, the fraction 6/11 is greater than 3/4.
Therefore, the ratio 12:22 is greater than 6:8.