Write the ratio as a fraction in lowest terms.
1 3/7 to 1 1/5
To write the ratio 1 3/7 to 1 1/5 as a fraction in lowest terms, we first need to convert the mixed numbers to improper fractions.
1 3/7 = (7*1 + 3)/7 = 10/7
1 1/5 = (5*1 + 1)/5 = 6/5
Now, we can write the ratio as a fraction:
10/7 : 6/5
To compare the fractions, we first need to find a common denominator. In this case, the common denominator is 35 (7*5).
Converting the fractions with the common denominator, we get:
(10/7) * (5/5) : (6/5) * (7/7)
= 50/35 : 42/35
Now, we can compare the fractions:
50/35 : 42/35
Since the denominators are the same, we can compare the numerators:
50 : 42
To simplify the fraction, we need to find the greatest common divisor (GCD) of 50 and 42, which is 2.
Dividing both numerator and denominator by 2:
50/2 : 42/2
= 25 : 21
Therefore, the ratio 1 3/7 to 1 1/5 can be written as the fraction 25/21 in lowest terms.