Answer:
Explanation:
To write the ratio 2/3 to 7/6 as a fraction in lowest terms, we need to find the equivalent fraction with the lowest common terms. We can do this by multiplying both the numerator and denominator of each ratio by the same factor.
First, we can simplify the second ratio 7/6 by multiplying both the numerator and denominator by 2, giving us 14/12.
Then, we can rewrite the ratio as 2/3 : 14/12.
To find the equivalent fraction with the lowest common terms, we need to find the least common multiple (LCM) of the denominators 3 and 12. The LCM of 3 and 12 is 12.
Now, we can rewrite each ratio with the denominator of 12:
2/3 × 4/4 = 8/12
14/12 × 1/7 = 2/12
Therefore, the ratio 2/3 to 7/6 as a fraction in lowest terms is:
8/12 to 2/12 or simplifying further, 2/3 to 1/6.